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Created on: 2012-01-24

A sample problem solved by Quickmath web math calculator

the outcome of expanding a sum that contains 4 terms. | splitting (x^4-x^3-100)/(x-3) into partial fractions

Command

Factor

Expression

(r+7*t)^3+(r-2*t)^3

  1. A sum of 2 terms. The 1st term of the sum is equal to a power. The base is a sum consisting of 2 terms. The 1st term of the sum is equal to r. The 2nd term of the sum is equal to a product consisting of 2 factors. The 1st factor of the product is equal to seven. The 2nd factor of the product is t. The exponent is three. The 2nd term of the sum is a power. The base is a sum that contains 2 terms. The 1st term of the sum is equal to r. The 2nd term of the sum is equal to a negative product that contains 2 factors. The 1st factor of the product is two. The 2nd factor of the product is equal to t. The exponent is three.
  2. left brace r plus seven multiplied by t right brace to the power three plus open brace r plus negative two multiplied by t close brace raised to the power three.

Result

(5*t+2*r)*(67*t^2+5*r*t+r^2)

  1. A product that consists of 2 factors. The 1st factor of the product is equal to a sum of 2 terms. The 1st term of the sum is equal to a product that contains 2 factors. The 1st factor of the product is five. The 2nd factor of the product is equal to t. The 2nd term of the sum is a product consisting of 2 factors. The 1st factor of the product is equal to two. The 2nd factor of the product is equal to r. The 2nd factor of the product is equal to a sum consisting of 3 terms. The 1st term of the sum is equal to a product containing 2 factors. The 1st factor of the product is equal to sixty seven. The 2nd factor of the product is equal to a power. The base is t. The exponent is two. The 2nd term of the sum is equal to a product that contains 3 factors. The 1st factor of the product is five. The 2nd factor of the product is equal to r. The 3rd factor of the product is equal to t. The 3rd term of the sum is a power. The base is r. The exponent is two.
  2. left parenthesis five multiplied by t plus two times r right parenthesis times opening bracket sixty seven times t raised to the power two plus five multiplied by r times t plus r raised to the power of two closing bracket;