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Created on: 2012-03-18

A sample problem solved by Quickmath algebra calculator

Command

Simplify

Expression
(4*x-3*x^3)^12

  1. A power. The base is a sum that comprises 2 terms. The 1st term of the sum is equal to a product that consists of 2 factors. The 1st factor of the product is equal to four. The 2nd factor of the product is equal to x. The 2nd term of the sum is equal to a negative product that comprises 2 factors. The 1st factor of the product is equal to three. The 2nd factor of the product is equal to a power. The base is x. The exponent is three. The exponent is twelve.
  2. opening parenthesis four multiplied by x plus negative three times x raised to the power three closing parenthesis exponentiated by twelve.
Result
531441*x^36-8503056*x^34+62355744*x^32-277136640*x^30+831409920*x^28-1773674496*x^26+2759049216*x^24-3153199104*x^22+2627665920*x^20-1557135360*x^18+622854144*x^16-150994944*x^14+16777216*x^12

  1. A sum of 13 terms; the 1st term of the sum is equal to a product consisting of 2 factors; the 1st factor of the product is equal to five hundred and thirty one thousand and four hundred and forty one; the 2nd factor of the product is equal to a power; the base is x; the exponent is thirty six; the 2nd term of the sum is a negative product of 2 factors; the 1st factor of the product is equal to eight million and five hundred and three thousand and fifty six; the 2nd factor of the product is equal to a power; the base is x; the exponent is thirty four; the 3rd term of the sum is equal to a product that contains 2 factors; the 1st factor of the product is equal to sixty two million and three hundred and fifty five thousand and seven hundred and forty four; the 2nd factor of the product is equal to a power; the base is x; the exponent is thirty two; the 4th term of the sum is a negative product that contains 2 factors; the 1st factor of the product is two hundred and seventy seven million and one hundred thirty six thousand and six hundred and forty; the 2nd factor of the product is equal to a power; the base is x; the exponent is thirty; the 5th term of the sum is equal to a product containing 2 factors; the 1st factor of the product is eight hundred and thirty one million and four hundred and nine thousand and nine hundred and twenty; the 2nd factor of the product is a power; the base is x; the exponent is twenty eight; the 6th term of the sum is a negative product that comprises 2 factors; the 1st factor of the product is equal to one billion seven hundred and seventy three million and six hundred and seventy four thousand and four hundred and ninety six; the 2nd factor of the product is equal to a power; the base is x; the exponent is twenty six; the 7th term of the sum is equal to a product consisting of 2 factors; the 1st factor of the product is two billion and seven hundred and fifty nine million and forty nine thousand and two hundred and sixteen; the 2nd factor of the product is equal to a power; the base is x; the exponent is twenty four; the 8th term of the sum is a negative product containing 2 factors; the 1st factor of the product is equal to three billion and one hundred fifty three million and one hundred ninety nine thousand and one hundred four; the 2nd factor of the product is equal to a power; the base is x; the exponent is twenty two; the 9th term of the sum is equal to a product of 2 factors; the 1st factor of the product is equal to two billion and six hundred and twenty seven million and six hundred and sixty five thousand and nine hundred and twenty; the 2nd factor of the product is a power; the base is x; the exponent is twenty; the ten term of the sum is equal to a negative product that contains 2 factors; the 1st factor of the product is equal to one billion five hundred and fifty seven million and one hundred thirty five thousand and three hundred and sixty; the 2nd factor of the product is equal to a power; the base is x; the exponent is eighteen; the eleven term of the sum is equal to a product of 2 factors; the 1st factor of the product is equal to six hundred and twenty two million and eight hundred and fifty four thousand and one hundred forty four; the 2nd factor of the product is equal to a power; the base is x; the exponent is sixteen; the twelfth term of the sum is equal to a negative product that comprises 2 factors; the 1st factor of the product is equal to one hundred fifty million and nine hundred and ninety four thousand and nine hundred and forty four; the 2nd factor of the product is equal to a power; the base is x; the exponent is fourteen; the thirteen term of the sum is equal to a product of 2 factors; the 1st factor of the product is equal to sixteen million and seven hundred and seventy seven thousand and two hundred and sixteen; the 2nd factor of the product is equal to a power; the base is x; the exponent is twelve;
  2. five hundred and thirty one thousand and four hundred and forty one multiplied by x raised to the power of thirty six plus negative eight million and five hundred and three thousand and fifty six times x exponentiated by thirty four plus sixty two million and three hundred and fifty five thousand and seven hundred and forty four times x to the power thirty two plus negative two hundred and seventy seven million and one hundred thirty six thousand and six hundred and forty multiplied by x to the power thirty plus eight hundred and thirty one million and four hundred and nine thousand and nine hundred and twenty multiplied by x exponentiated by twenty eight plus negative one billion seven hundred and seventy three million and six hundred and seventy four thousand and four hundred and ninety six times x to the power twenty six plus two billion and seven hundred and fifty nine million and forty nine thousand and two hundred and sixteen multiplied by x to the power twenty four plus negative three billion and one hundred fifty three million and one hundred ninety nine thousand and one hundred four multiplied by x to the power twenty two plus two billion and six hundred and twenty seven million and six hundred and sixty five thousand and nine hundred and twenty multiplied by x exponentiated by twenty plus negative one billion five hundred and fifty seven million and one hundred thirty five thousand and three hundred and sixty times x to the power of eighteen plus six hundred and twenty two million and eight hundred and fifty four thousand and one hundred forty four multiplied by x raised to the power sixteen plus negative one hundred fifty million and nine hundred and ninety four thousand and nine hundred and forty four multiplied by x to the power fourteen plus sixteen million and seven hundred and seventy seven thousand and two hundred and sixteen multiplied by x raised to the power twelve.