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Created on: 2012-03-05

A sample problem solved by Quickmath web algebra calculator

Command

Partial Fractions

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

  1. A quotient: dividend of the quotient is a power ; the base is x; the exponent is two; divisor of the quotient is a product of 2 factors; the 1st 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 three; the 2nd factor of the product is equal to a power; the base is a sum containing 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. x exponentiated by two divided by opening brace x plus three closing brace times left bracket x plus negative two right bracket raised to the power two;
Result
9/(25*(x+3))+16/(25*(x-2))+4/(5*(x-2)^2)

  1. A sum comprising 3 terms; the 1st term of the sum is equal to a fraction: the numerator of the fraction is nine; the denominator of the fraction is a product of 2 factors; the 1st factor of the product is twenty five; the 2nd factor of the product is equal to a sum of 2 terms; the 1st term of the sum is x; the 2nd term of the sum is equal to three; the 2nd term of the sum is a rational expression: the numerator of the rational expression is sixteen; the denominator of the rational expression is a product that comprises 2 factors; the 1st factor of the product is equal to twenty five; the 2nd factor of the product is equal to 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 two; the 3rd term of the sum is equal to a rational expression: the top of the rational expression is four; the bottom of the rational expression is a product that comprises 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 comprises 2 terms; the 1st term of the sum is x; the 2nd term of the sum is equal to negative two; the exponent is two;
  2. nine fraction line twenty five times open parenthesis x plus three close parenthesis plus sixteen fraction line twenty five multiplied by opening brace x plus negative two closing brace plus four divided by five times open brace x plus negative two close brace raised to the power two;