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Created on: 2011-12-21

A sample problem solved by Quickmath online math solver

creating partial fractions from (2*x^4+21*x^3+35*x^2+(-37)*x+46)*(2*x+7)

Command

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Expression

(6*x^3-17*x^2+26*x+17)/(2*x-3)

  1. A rational expression: the top of the rational expression is a sum that consists of 4 terms. The 1st term of the sum is equal to a product containing 2 factors. The 1st factor of the product is equal to six. The 2nd factor of the product is equal to a power . The base is x. The exponent is three. The 2nd term of the sum is equal to a negative product containing 2 factors. The 1st factor of the product is equal to seventeen. The 2nd factor of the product is a power. The base is x. The exponent is two. The 3rd term of the sum is a product that contains 2 factors. The 1st factor of the product is equal to twenty six. The 2nd factor of the product is x. The 4th term of the sum is equal to seventeen. The bottom of the rational expression is a sum that contains 2 terms. The 1st term of the sum is equal to a product comprising 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 equal to negative three.
  2. six multiplied by x to the power three plus negative seventeen times x raised to the power of two plus twenty six multiplied by x plus seventeen fraction line two multiplied by x plus negative three.

Result

6*x^3/(2*x-3)-17*x^2/(2*x-3)+26*x/(2*x-3)+17/(2*x-3)

  1. A sum comprising 4 terms. The 1st term of the sum is equal to a fraction: the top of the fraction is a product consisting of 2 factors. The 1st factor of the product is six. The 2nd factor of the product is a power. The base is x. The exponent is three. The bottom of the fraction is a sum containing 2 terms. The 1st term of the sum is equal to a product comprising 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 equal to negative three. The 2nd term of the sum is equal to a negative quotient: dividend of the quotient is a product of 2 factors. The 1st factor of the product is seventeen. The 2nd factor of the product is equal to a power. The base is x. The exponent is two. Divisor of the quotient is a sum that contains 2 terms. The 1st term of the sum is equal to a product that contains 2 factors. The 1st factor of the product is equal to two. The 2nd factor of the product is x. The 2nd term of the sum is equal to negative three. The 3rd term of the sum is a rational expression: the top of the rational expression is a product that comprises 2 factors. The 1st factor of the product is equal to twenty six. The 2nd factor of the product is equal to x. The bottom of the rational expression is a sum containing 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 two. The 2nd factor of the product is equal to x. The 2nd term of the sum is negative three. The 4th term of the sum is equal to a fraction: the numerator of the fraction is seventeen. The denominator of the fraction 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 two. The 2nd factor of the product is equal to x. The 2nd term of the sum is negative three.
  2. six multiplied by x to the power three divided by two multiplied by x plus negative three plus negative seventeen times x raised to the power of two fraction line two multiplied by x plus negative three plus twenty six times x fraction line two multiplied by x plus negative three plus seventeen divided by two times x plus negative three;