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Created on: 2011-11-24

A sample problem solved by Quickmath online math calculator

a rational expression; added | a fraction. simplified

Command

Expand

Expression

(1+2*x)^25*(1-3*x)^7

Visually impaired math text interpretations:
  1. A product of 2 factors; the 1st factor of the product is equal to a power; the base is a sum consisting of 2 terms; the 1st term of the sum is one; the 2nd term of the sum is a product comprising 2 factors; the 1st factor of the product is two; the 2nd factor of the product is equal to x; the exponent is twenty five; the 2nd factor of the product is equal to a power; the base is a sum that contains 2 terms; the 1st term of the sum is equal to one; the 2nd term of the sum is equal to a negative product of 2 factors; the 1st factor of the product is equal to three; the 2nd factor of the product is equal to x; the exponent is seven;
  2. opening brace one plus two times x closing brace raised to the power of twenty five times opening square bracket one plus negative three multiplied by x closing square bracket to the power of seven;

Result

-73383542784*x^32-746066018304*x^31-3534640644096*x^30-10300875079680*x^29-20475480637440*x^28-28945900634112*x^27-29101582712832*x^26-19501136478208*x^25-6175421235200*x^24+2967242342400*x^23+5041778524160*x^22+2861880770560*x^21+446873763840*x^20-489777971200*x^19-386271641600*x^18-98322063360*x^17+25313277440*x^16+27554632960*x^15+7475846400*x^14-805772800*x^13-1154202560*x^12-292438560*x^11+16309760*x^10+27919600*x^9+6235050*x^8-137197*x^7-351407*x^6-69993*x^5-1615*x^4+1705*x^3+339*x^2+29*x+1

Visually impaired math text interpretations:
  1. A sum consisting of 33 terms. The 1st term of the sum is equal to a product containing 2 factors. The 1st factor of the product is equal to negative seventy three billion and three hundred and eighty three million and five hundred and forty two thousand and seven hundred and eighty four. The 2nd factor of the product is a power . The base is x. The exponent is thirty two. The 2nd term of the sum is a negative product that consists of 2 factors. The 1st factor of the product is equal to seven hundred and forty six billion and sixty six million and eighteen thousand and three hundred and four. The 2nd factor of the product is a power. The base is x. The exponent is thirty one. The 3rd term of the sum is a negative product that consists of 2 factors. The 1st factor of the product is equal to three trillion and five hundred and thirty four billion and six hundred and forty million and six hundred and forty four thousand and ninety six. The 2nd factor of the product is a power. The base is x. The exponent is thirty. The 4th term of the sum is equal to a negative product that contains 2 factors. The 1st factor of the product is ten trillion and three hundred billion and eight hundred and seventy five million and seventy nine thousand and six hundred and eighty. The 2nd factor of the product is equal to a power. The base is x. The exponent is twenty nine. The 5th term of the sum is equal to a negative product that contains 2 factors. The 1st factor of the product is equal to twenty trillion and four hundred and seventy five billion and four hundred and eighty million and six hundred and thirty seven thousand and four hundred and forty. The 2nd factor of the product is equal to a power. The base is x. The exponent is twenty eight. The 6th term of the sum is equal to a negative product containing 2 factors. The 1st factor of the product is twenty eight trillion and nine hundred and forty five billion and nine hundred million and six hundred and thirty four thousand and one hundred twelve. The 2nd factor of the product is equal to a power. The base is x. The exponent is twenty seven. The 7th term of the sum is a negative product consisting of 2 factors. The 1st factor of the product is equal to twenty nine trillion and one hundred one billion and five hundred and eighty two million and seven hundred and twelve thousand and eight hundred and thirty two. The 2nd factor of the product is equal to a power. The base is x. The exponent is twenty six. The 8th term of the sum is equal to a negative product consisting of 2 factors. The 1st factor of the product is equal to nineteen trillion and five hundred and one billion and one hundred thirty six million and four hundred and seventy eight thousand and two hundred and eight. The 2nd factor of the product is equal to a power. The base is x. The exponent is twenty five. The 9th term of the sum is equal to a negative product consisting of 2 factors. The 1st factor of the product is six trillion and one hundred seventy five billion and four hundred and twenty one million and two hundred and thirty five thousand and two hundred. The 2nd factor of the product is equal to a power. The base is x. The exponent is twenty four. The ten term of the sum is equal to a product that comprises 2 factors. The 1st factor of the product is equal to two trillion and nine hundred and sixty seven billion and two hundred and forty two million and three hundred and forty two thousand and four hundred. The 2nd factor of the product is equal to a power. The base is x. The exponent is twenty three. The eleven term of the sum is equal to a product that contains 2 factors. The 1st factor of the product is equal to five trillion and forty one billion and seven hundred and seventy eight million and five hundred and twenty four thousand and one hundred sixty. The 2nd factor of the product is equal to a power. The base is x. The exponent is twenty two. The twelfth term of the sum is a product containing 2 factors. The 1st factor of the product is equal to two trillion and eight hundred and sixty one billion and eight hundred and eighty million and seven hundred and seventy thousand and five hundred and sixty. The 2nd factor of the product is equal to a power. The base is x. The exponent is twenty one. The thirteen term of the sum is equal to a product consisting of 2 factors. The 1st factor of the product is equal to four hundred and forty six billion and eight hundred and seventy three million and seven hundred and sixty three thousand and eight hundred and forty. The 2nd factor of the product is equal to a power. The base is x. The exponent is twenty. The fourteen term of the sum is equal to a negative product that contains 2 factors. The 1st factor of the product is equal to four hundred and eighty nine billion and seven hundred and seventy seven million and nine hundred and seventy one thousand and two hundred. The 2nd factor of the product is equal to a power. The base is x. The exponent is nineteen. The fifteen term of the sum is equal to a negative product consisting of 2 factors. The 1st factor of the product is equal to three hundred and eighty six billion and two hundred and seventy one million and six hundred and forty one thousand and six hundred. The 2nd factor of the product is a power. The base is x. The exponent is eighteen. The sixteen term of the sum is a negative product of 2 factors. The 1st factor of the product is equal to ninety eight billion and three hundred and twenty two million and sixty three thousand and three hundred and sixty. The 2nd factor of the product is a power. The base is x. The exponent is seventeen. The seventeen term of the sum is equal to a product that contains 2 factors. The 1st factor of the product is equal to twenty five billion and three hundred and thirteen million and two hundred and seventy seven thousand and four hundred and forty. The 2nd factor of the product is a power. The base is x. The exponent is sixteen. The eighteen term of the sum is a product that contains 2 factors. The 1st factor of the product is equal to twenty seven billion and five hundred and fifty four million and six hundred and thirty two thousand and nine hundred and sixty. The 2nd factor of the product is equal to a power. The base is x. The exponent is fifteen. The nineteen term of the sum is a product that contains 2 factors. The 1st factor of the product is seven billion and four hundred and seventy five million and eight hundred and forty six thousand and four hundred. The 2nd factor of the product is a power. The base is x. The exponent is fourteen. The twentieth term of the sum is equal to a negative product that contains 2 factors. The 1st factor of the product is equal to eight hundred and five million and seven hundred and seventy two thousand and eight hundred. The 2nd factor of the product is equal to a power. The base is x. The exponent is thirteen. The twenty first term of the sum is a negative product that comprises 2 factors. The 1st factor of the product is equal to one billion one hundred fifty four million and two hundred and two thousand and five hundred and sixty. The 2nd factor of the product is equal to a power. The base is x. The exponent is twelve. The twenty second term of the sum is a negative product that contains 2 factors. The 1st factor of the product is two hundred and ninety two million and four hundred and thirty eight thousand and five hundred and sixty. The 2nd factor of the product is a power. The base is x. The exponent is eleven. The twenty third term of the sum is a product that contains 2 factors. The 1st factor of the product is sixteen million and three hundred and nine thousand and seven hundred and sixty. The 2nd factor of the product is a power. The base is x. The exponent is ten. The twenty four term of the sum is a product of 2 factors. The 1st factor of the product is twenty seven million and nine hundred and nineteen thousand and six hundred. The 2nd factor of the product is equal to a power. The base is x. The exponent is nine. The twenty five term of the sum is a product that contains 2 factors. The 1st factor of the product is equal to six million and two hundred and thirty five thousand and fifty. The 2nd factor of the product is a power. The base is x. The exponent is eight. The twenty six term of the sum is a negative product that comprises 2 factors. The 1st factor of the product is equal to one hundred thirty seven thousand and one hundred ninety seven. The 2nd factor of the product is a power. The base is x. The exponent is seven. The twenty seven term of the sum is equal to a negative product that consists of 2 factors. The 1st factor of the product is equal to three hundred and fifty one thousand and four hundred and seven. The 2nd factor of the product is a power. The base is x. The exponent is six. The twenty eight term of the sum is equal to a negative product consisting of 2 factors. The 1st factor of the product is equal to sixty nine thousand and nine hundred and ninety three. The 2nd factor of the product is a power. The base is x. The exponent is five. The twenty nine term of the sum is equal to a negative product of 2 factors. The 1st factor of the product is equal to one thousand six hundred and fifteen. The 2nd factor of the product is equal to a power. The base is x. The exponent is four. The thirtieth term of the sum is equal to a product that consists of 2 factors. The 1st factor of the product is equal to one thousand seven hundred and five. The 2nd factor of the product is a power. The base is x. The exponent is three. The thirty first term of the sum is a product that consists of 2 factors. The 1st factor of the product is equal to three hundred and thirty nine. The 2nd factor of the product is equal to a power. The base is x. The exponent is two. The thirty second term of the sum is equal to a product that consists of 2 factors. The 1st factor of the product is twenty nine. The 2nd factor of the product is equal to x. The thirty third term of the sum is equal to one.
  2. negative seventy three billion and three hundred and eighty three million and five hundred and forty two thousand and seven hundred and eighty four times x raised to the power of thirty two plus negative seven hundred and forty six billion and sixty six million and eighteen thousand and three hundred and four times x exponentiated by thirty one plus negative three trillion and five hundred and thirty four billion and six hundred and forty million and six hundred and forty four thousand and ninety six multiplied by x raised to the power of thirty plus negative ten trillion and three hundred billion and eight hundred and seventy five million and seventy nine thousand and six hundred and eighty times x to the power twenty nine plus negative twenty trillion and four hundred and seventy five billion and four hundred and eighty million and six hundred and thirty seven thousand and four hundred and forty multiplied by x raised to the power twenty eight plus negative twenty eight trillion and nine hundred and forty five billion and nine hundred million and six hundred and thirty four thousand and one hundred twelve multiplied by x to the power of twenty seven plus negative twenty nine trillion and one hundred one billion and five hundred and eighty two million and seven hundred and twelve thousand and eight hundred and thirty two multiplied by x raised to the power twenty six plus negative nineteen trillion and five hundred and one billion and one hundred thirty six million and four hundred and seventy eight thousand and two hundred and eight times x raised to the power of twenty five plus negative six trillion and one hundred seventy five billion and four hundred and twenty one million and two hundred and thirty five thousand and two hundred times x raised to the power of twenty four plus two trillion and nine hundred and sixty seven billion and two hundred and forty two million and three hundred and forty two thousand and four hundred multiplied by x to the power of twenty three plus five trillion and forty one billion and seven hundred and seventy eight million and five hundred and twenty four thousand and one hundred sixty multiplied by x to the power of twenty two plus two trillion and eight hundred and sixty one billion and eight hundred and eighty million and seven hundred and seventy thousand and five hundred and sixty multiplied by x to the power of twenty one plus four hundred and forty six billion and eight hundred and seventy three million and seven hundred and sixty three thousand and eight hundred and forty multiplied by x raised to the power twenty plus negative four hundred and eighty nine billion and seven hundred and seventy seven million and nine hundred and seventy one thousand and two hundred times x exponentiated by nineteen plus negative three hundred and eighty six billion and two hundred and seventy one million and six hundred and forty one thousand and six hundred times x raised to the power eighteen plus negative ninety eight billion and three hundred and twenty two million and sixty three thousand and three hundred and sixty times x raised to the power seventeen plus twenty five billion and three hundred and thirteen million and two hundred and seventy seven thousand and four hundred and forty multiplied by x to the power sixteen plus twenty seven billion and five hundred and fifty four million and six hundred and thirty two thousand and nine hundred and sixty times x to the power of fifteen plus seven billion and four hundred and seventy five million and eight hundred and forty six thousand and four hundred multiplied by x to the power of fourteen plus negative eight hundred and five million and seven hundred and seventy two thousand and eight hundred times x to the power thirteen plus negative one billion one hundred fifty four million and two hundred and two thousand and five hundred and sixty multiplied by x to the power of twelve plus negative two hundred and ninety two million and four hundred and thirty eight thousand and five hundred and sixty multiplied by x exponentiated by eleven plus sixteen million and three hundred and nine thousand and seven hundred and sixty multiplied by x to the power ten plus twenty seven million and nine hundred and nineteen thousand and six hundred times x to the power of nine plus six million and two hundred and thirty five thousand and fifty times x raised to the power of eight plus negative one hundred thirty seven thousand and one hundred ninety seven times x to the power of seven plus negative three hundred and fifty one thousand and four hundred and seven multiplied by x exponentiated by six plus negative sixty nine thousand and nine hundred and ninety three times x to the power of five plus negative one thousand six hundred and fifteen multiplied by x to the power four plus one thousand seven hundred and five multiplied by x exponentiated by three plus three hundred and thirty nine times x to the power of two plus twenty nine multiplied by x plus one;