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Created on: 2012-01-01

A sample problem solved by Quickmath online algebra calculator

twelve. problem solved | solutions presented for an (x>-5).

Command

Partial Fractions

Expression
(5*x^2+44*x-73)/(2*x^3+4*x^2+(-26)*x+20)

  1. A quotient: dividend of the quotient is a sum comprising 3 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 five. The 2nd factor of the product is equal to a power. The base is x. The exponent is two. The 2nd term of the sum is a product of 2 factors. The 1st factor of the product is equal to forty four. The 2nd factor of the product is equal to x. The 3rd term of the sum is equal to negative seventy three. Divisor of the quotient is a sum consisting 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 two. The 2nd factor of the product is a power. The base is x. The exponent is three. The 2nd term of the sum is equal to a product that contains 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 two. The 3rd term of the sum is a product that consists of 2 factors. The 1st factor of the product is equal to negative twenty six. The 2nd factor of the product is x. The 4th term of the sum is equal to twenty.
  2. five times x exponentiated by two plus forty four multiplied by x plus negative seventy three divided by two times x to the power three plus four times x raised to the power two plus open brace negative twenty six close brace times x plus twenty;
Result
-2/(x+5)+2/(x-1)+5/(2*(x-2))

  1. A sum of 3 terms. The 1st term of the sum is equal to a rational expression: the numerator of the rational expression is negative two. The denominator of the rational expression is a sum consisting of 2 terms. The 1st term of the sum is equal to x. The 2nd term of the sum is equal to five. The 2nd term of the sum is a fraction: the numerator of the fraction is two. The denominator of the fraction is a sum consisting of 2 terms. The 1st term of the sum is equal to x. The 2nd term of the sum is equal to negative one. The 3rd term of the sum is equal to a quotient: dividend of the quotient is five. Divisor of the quotient is a product that comprises 2 factors. The 1st factor of the product is equal to two. 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 negative two.
  2. negative two over x plus five plus two over x plus negative one plus five over two multiplied by left brace x plus negative two right brace.