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Created on: 2012-04-02

A sample problem solved by Quickmath web algebra calculator

Command

Partial Fractions

Expression
8/(5*x^2*y)+5/(4*x*y^2)

  1. A sum consisting of 2 terms. The first term of the sum is equal to a rational expression: the numerator of the rational expression is eight. The denominator of the rational expression is a product comprising 3 factors. The first factor of the product is equal to five. The second factor of the product is equal to a power. The base is x. The exponent is two. The third factor of the product is equal to y. The second term of the sum is equal to a fraction: the numerator of the fraction is five. The denominator of the fraction is a product that comprises 3 factors. The first factor of the product is equal to four. The second factor of the product is x. The third factor of the product is equal to a power. The base is y. The exponent is two.
  2. eight over five times x to the power two multiplied by y plus five over four multiplied by x times y to the power two;

  1. A sum of 2 terms. The first term of the sum is a rational expression: the numerator of the rational expression is eight. The denominator of the rational expression is a product consisting of 3 factors. The first factor of the product is equal to five. The second factor of the product is a power. The base is x. The exponent is two. The third factor of the product is y. The second term of the sum is equal to a rational expression: the numerator of the rational expression is five. The denominator of the rational expression is a product that consists of 3 factors. The first factor of the product is equal to four. The second factor of the product is equal to x. The third factor of the product is a power. The base is y. The exponent is two.
  2. eight fraction line five multiplied by x raised to the power two times y plus five divided by four times x multiplied by y to the power two;
Result
8/(5*x^2*y)+5/(4*x*y^2)

  1. A sum consisting of 2 terms. The first term of the sum is equal to a rational expression: the numerator of the rational expression is eight. The denominator of the rational expression is a product comprising 3 factors. The first factor of the product is equal to five. The second factor of the product is equal to a power. The base is x. The exponent is two. The third factor of the product is equal to y. The second term of the sum is equal to a fraction: the numerator of the fraction is five. The denominator of the fraction is a product that comprises 3 factors. The first factor of the product is equal to four. The second factor of the product is x. The third factor of the product is equal to a power. The base is y. The exponent is two.
  2. eight over five times x to the power two multiplied by y plus five over four multiplied by x times y to the power two;

  1. A sum of 2 terms. The first term of the sum is a rational expression: the numerator of the rational expression is eight. The denominator of the rational expression is a product consisting of 3 factors. The first factor of the product is equal to five. The second factor of the product is a power. The base is x. The exponent is two. The third factor of the product is y. The second term of the sum is equal to a rational expression: the numerator of the rational expression is five. The denominator of the rational expression is a product that consists of 3 factors. The first factor of the product is equal to four. The second factor of the product is equal to x. The third factor of the product is a power. The base is y. The exponent is two.
  2. eight fraction line five multiplied by x raised to the power two times y plus five divided by four times x multiplied by y to the power two;