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Created on: 2012-04-12

A sample problem solved by Quickmath web algebra calculator

Command

Partial Fractions

Expression
3*x^2-x+2/(x+1)^2*(x-1)

  1. A sum 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 three. The 2nd factor of the product is a power. The base is x. The exponent is two. The 2nd term of the sum is equal to negative x. The 3rd term of the sum is a product of 2 factors. The 1st factor of the product is equal to a rational expression: the top of the rational expression is two. The bottom of the rational expression is a power. The base is a sum that comprises 2 terms. The 1st term of the sum is x. The 2nd term of the sum is equal to one. The exponent is two. The 2nd factor of the product is a sum that comprises 2 terms. The 1st term of the sum is equal to x. The 2nd term of the sum is equal to negative one.
  2. three times x exponentiated by two plus negative x plus two divided by open brace x plus one close brace exponentiated by two multiplied by opening bracket x plus negative one closing bracket.
Result
2/(x+1)-4/(x+1)^2+3*x^2-x

  1. A sum that consists of 4 terms. The 1st term of the sum is equal to a quotient: dividend of the quotient is two. Divisor of the quotient is a sum consisting of 2 terms. The 1st term of the sum is equal to x. The 2nd term of the sum is one. The 2nd term of the sum is equal to a negative quotient: dividend of the quotient is four. Divisor of the quotient is a power. The base is a sum consisting of 2 terms. The 1st term of the sum is equal to x. The 2nd term of the sum is one. The exponent is two. The 3rd term of the sum is equal to a product comprising 2 factors. The 1st factor of the product is equal to three. 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 equal to negative x.
  2. two over x plus one plus negative four divided by left bracket x plus one right bracket exponentiated by two plus three multiplied by x raised to the power of two plus negative x.