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Created on: 2012-03-28

A sample problem solved by Quickmath online math calculator

Command

Partial Fractions

Expression
(14*x+46)/(2*x^3+3*x^2+8*x+12)

  1. A rational expression: the top of the rational expression is a sum comprising 2 terms; the 1st term of the sum is equal to a product that comprises 2 factors; the 1st factor of the product is fourteen; the 2nd factor of the product is x; the 2nd term of the sum is equal to forty six; the bottom of the rational expression is a sum that consists of 4 terms; the 1st term of the sum is a product containing 2 factors; the 1st factor of the product is equal to two; 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 product comprising 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 3rd term of the sum is equal to a product that comprises 2 factors; the 1st factor of the product is equal to eight; the 2nd factor of the product is equal to x; the 4th term of the sum is twelve;
  2. fourteen times x plus forty six over two multiplied by x to the power three plus three times x to the power of two plus eight times x plus twelve.
Result
(10-2*x)/(x^2+4)+4/(2*x+3)

  1. A sum that consists of 2 terms. The 1st term of the sum is equal to a quotient: dividend of the quotient is a sum comprising 2 terms. The 1st term of the sum is equal to ten. The 2nd term of the sum is a negative product that comprises 2 factors. The 1st factor of the product is two. The 2nd factor of the product is x. Divisor of the quotient is a sum that comprises 2 terms. The 1st term of the sum is equal to a power. The base is x. The exponent is two. The 2nd term of the sum is equal to four. The 2nd term of the sum is equal to a quotient: dividend of the quotient is four. Divisor of the quotient is a sum consisting of 2 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 equal to x. The 2nd term of the sum is equal to three.
  2. ten plus negative two multiplied by x fraction line x raised to the power of two plus four plus four over two multiplied by x plus three.