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Created on: 2012-01-29

A sample problem solved by Quickmath online algebra calculator

Command

Partial Fractions

Expression
(3*x+5)/((x+3)*(x-2)^2)

  1. A fraction: the numerator of the fraction is a sum that contains 2 terms. The 1st term of the sum is a product of 2 factors. The 1st factor of the product is equal to three. The 2nd factor of the product is x. The 2nd term of the sum is five. The denominator of the fraction is a product consisting of 2 factors. The 1st factor of the product is a sum of 2 terms. The 1st term of the sum is equal to x. The 2nd term of the sum is equal to three. The 2nd factor of the product is a power. The base is a sum comprising 2 terms. The 1st term of the sum is equal to x. The 2nd term of the sum is equal to negative two. The exponent is two.
  2. three times x plus five divided by open parenthesis x plus three close parenthesis times open brace x plus negative two close brace to the power of two.
Result
-4/(25*(x+3))+4/(25*(x-2))+11/(5*(x-2)^2)

  1. A sum that consists of 3 terms. The 1st term of the sum is equal to a rational expression: the top of the rational expression is negative four. The bottom of the rational expression is a product that consists of 2 factors. The 1st factor of the product is twenty five. The 2nd factor of the product is equal to a sum comprising 2 terms. The 1st term of the sum is equal to x. The 2nd term of the sum is equal to three. The 2nd term of the sum is equal to a quotient: dividend of the quotient is four. Divisor of the quotient is a product of 2 factors. The 1st factor of the product is equal to twenty five. The 2nd factor of the product is a sum of 2 terms. The 1st term of the sum is equal to x. The 2nd term of the sum is equal to negative two. The 3rd term of the sum is a rational expression: the top of the rational expression is eleven. The bottom of the rational expression is a product consisting of 2 factors. The 1st factor of the product is equal to five. The 2nd factor of the product is equal to a power . The base is a sum that contains 2 terms. The 1st term of the sum is equal to x. The 2nd term of the sum is equal to negative two. The exponent is two.
  2. negative four fraction line twenty five times left brace x plus three right brace plus four over twenty five times left bracket x plus negative two right bracket plus eleven divided by five multiplied by open parenthesis x plus negative two close parenthesis exponentiated by two;