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Created on: 2012-02-20

A sample problem solved by Quickmath online algebra calculator

Command

Simplify

Expression
3/(y^2+6*y-27)-8/(y+9)-6/(y-3)

  1. A sum consisting of 3 terms; the 1st term of the sum is equal to a fraction: the top of the fraction is three; the bottom of the fraction is a sum containing 3 terms; the 1st term of the sum is a power; the base is y; the exponent is two; the 2nd term of the sum is a product consisting of 2 factors; the 1st factor of the product is equal to six; the 2nd factor of the product is equal to y; the 3rd term of the sum is equal to negative twenty seven; the 2nd term of the sum is equal to a negative quotient: dividend of the quotient is eight; divisor of the quotient is a sum that contains 2 terms; the 1st term of the sum is y; the 2nd term of the sum is equal to nine; the 3rd term of the sum is equal to a negative rational expression: the top of the rational expression is six; the bottom of the rational expression is a sum consisting of 2 terms; the 1st term of the sum is equal to y; the 2nd term of the sum is negative three;
  2. three divided by y raised to the power of two plus six multiplied by y plus negative twenty seven plus negative eight fraction line y plus nine plus negative six divided by y plus negative three;
Result
-(14*y+27)/(y^2+6*y-27)

  1. A fraction: the numerator of the fraction is a negative sum containing 2 terms; the 1st term of the sum is equal to a product comprising 2 factors; the 1st factor of the product is fourteen; the 2nd factor of the product is equal to y; the 2nd term of the sum is equal to twenty seven; the denominator of the fraction is a sum consisting of 3 terms; the 1st term of the sum is a power; the base is y; the exponent is two; the 2nd term of the sum is a product that consists of 2 factors; the 1st factor of the product is six; the 2nd factor of the product is equal to y; the 3rd term of the sum is negative twenty seven;
  2. negative left parenthesis fourteen times y plus twenty seven right parenthesis fraction line y to the power of two plus six times y plus negative twenty seven;