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Created on: 2011-12-14

A sample problem solved by Quickmath web math solver

the way to simplify a sum comprising 2 terms; | analyze how to factor a sum that consists of 2 terms. (49*x^2+42*x-27)/(7*x-3)

Command

Partial Fractions

Expression
(2*x^4+21*x^3+35*x^2+(-37)*x+46)*(2*x+7)

  1. A product consisting of 2 factors. The 1st factor of the product is equal to a sum that comprises 5 terms. The 1st term of the sum is a product that comprises 2 factors. The 1st factor of the product is two. The 2nd factor of the product is equal to a power. The base is x. The exponent is four. The 2nd term of the sum is a product that consists of 2 factors. The 1st factor of the product is twenty one. The 2nd factor of the product is a power. The base is x. The exponent is three. The 3rd term of the sum is equal to a product containing 2 factors. The 1st factor of the product is thirty five. The 2nd factor of the product is equal to a power. The base is x. The exponent is two. The 4th term of the sum is a product comprising 2 factors. The 1st factor of the product is equal to negative thirty seven. The 2nd factor of the product is x. The 5th term of the sum is equal to forty six. The 2nd factor of the product is a sum that consists of 2 terms. The 1st term of the sum is equal to a product of 2 factors. The 1st factor of the product is equal to two. The 2nd factor of the product is equal to x. The 2nd term of the sum is seven.
  2. open parenthesis two times x raised to the power of four plus twenty one times x exponentiated by three plus thirty five times x to the power two plus opening brace negative thirty seven closing brace times x plus forty six close parenthesis times opening parenthesis two times x plus seven closing parenthesis;
Result
4*x^5+56*x^4+217*x^3+171*x^2-167*x+322

  1. A sum that consists of 6 terms; the 1st term of the sum is equal to a product that comprises 2 factors; the 1st factor of the product is equal to four; the 2nd factor of the product is a power; the base is x; the exponent is five; the 2nd term of the sum is equal to a product that consists of 2 factors; the 1st factor of the product is fifty six; the 2nd factor of the product is equal to a power; the base is x; the exponent is four; the 3rd term of the sum is a product containing 2 factors; the 1st factor of the product is equal to two hundred and seventeen; the 2nd factor of the product is equal to a power; the base is x; the exponent is three; the 4th term of the sum is a product consisting of 2 factors; the 1st factor of the product is equal to one hundred seventy one; the 2nd factor of the product is a power; the base is x; the exponent is two; the 5th term of the sum is equal to a negative product that consists of 2 factors; the 1st factor of the product is one hundred sixty seven; the 2nd factor of the product is x; the 6th term of the sum is equal to three hundred and twenty two;
  2. four multiplied by x exponentiated by five plus fifty six times x to the power of four plus two hundred and seventeen times x to the power of three plus one hundred seventy one times x exponentiated by two plus negative one hundred sixty seven times x plus three hundred and twenty two;