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Created on: 2011-12-10

A sample problem solved by Quickmath math calculator

Command

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Expression

(x-2)^2*(x-3)^2*(x^2-4*x+5)

  1. A product that consists of 3 factors; the first factor of the product is equal to a power; the base is a sum that comprises 2 terms; the first term of the sum is x; the second term of the sum is negative two; the exponent is two; the second factor of the product is a power; the base is a sum that consists of 2 terms; the first term of the sum is x; the second term of the sum is equal to negative three; the exponent is two; the third factor of the product is a sum consisting of 3 terms; the first term of the sum is equal to a power; the base is x; the exponent is two; the second term of the sum is a negative product consisting of 2 factors; the first factor of the product is equal to four; the second factor of the product is equal to x; the third term of the sum is five;
  2. open brace x plus negative two close brace exponentiated by two times open bracket x plus negative three close bracket to the power of two times left parenthesis x raised to the power of two plus negative four multiplied by x plus five right parenthesis.

Result

x^6-14*x^5+82*x^4-258*x^3+461*x^2-444*x+180

  1. A sum consisting of 7 terms; the first term of the sum is equal to a power; the base is x; the exponent is six; the second term of the sum is a negative product consisting of 2 factors; the first factor of the product is fourteen; the second factor of the product is equal to a power; the base is x; the exponent is five; the third term of the sum is equal to a product consisting of 2 factors; the first factor of the product is equal to eighty two; the second factor of the product is equal to a power; the base is x; the exponent is four; the four term of the sum is equal to a negative product consisting of 2 factors; the first factor of the product is equal to two hundred and fifty eight; the second factor of the product is equal to a power; the base is x; the exponent is three; the five term of the sum is a product that comprises 2 factors; the first factor of the product is equal to four hundred and sixty one; the second factor of the product is equal to a power; the base is x; the exponent is two; the six term of the sum is equal to a negative product containing 2 factors; the first factor of the product is equal to four hundred and forty four; the second factor of the product is equal to x; the seven term of the sum is one hundred eighty;
  2. x raised to the power of six plus negative fourteen multiplied by x raised to the power of five plus eighty two multiplied by x raised to the power four plus negative two hundred and fifty eight times x raised to the power three plus four hundred and sixty one multiplied by x raised to the power two plus negative four hundred and forty four multiplied by x plus one hundred eighty;