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Created on: 2012-02-28

A sample problem solved by Quickmath web math solver

study how to factor a sum that consists of 3 terms.

Command

Simplify

Expression
15*x3*y2-4*x2*y*(3*x+8*y*x*y)

  1. A sum that contains 2 terms; the 1st term of the sum is equal to a product comprising 3 factors; the 1st factor of the product is equal to fifteen; the 2nd factor of the product is equal to x 3-th; the 3rd factor of the product is equal to y 2-th; the 2nd term of the sum is a negative product comprising 4 factors; the 1st factor of the product is four; the 2nd factor of the product is equal to x 2-th; the 3rd factor of the product is equal to y; the 4th factor of the product is a sum that consists of 2 terms; the 1st term of the sum is equal to a product of 2 factors; the 1st factor of the product is equal to three; the 2nd factor of the product is x; the 2nd term of the sum is a product consisting of 4 factors; the 1st factor of the product is equal to eight; the 2nd factor of the product is y; the 3rd factor of the product is x; the 4th factor of the product is y;
  2. fifteen times x 3-th times y 2-th plus negative four times x 2-th times y multiplied by open brace three times x plus eight multiplied by y multiplied by x times y close brace.
Result
15*x3*y2-32*x*x2*y^3-12*x*x2*y

  1. A sum containing 3 terms; the 1st term of the sum is equal to a product consisting of 3 factors; the 1st factor of the product is fifteen; the 2nd factor of the product is equal to x 3-th; the 3rd factor of the product is y 2-th; the 2nd term of the sum is equal to a negative product that comprises 4 factors; the 1st factor of the product is thirty two; the 2nd factor of the product is x; the 3rd factor of the product is equal to x 2-th; the 4th factor of the product is equal to a power; the base is y; the exponent is three; the 3rd term of the sum is equal to a negative product that consists of 4 factors; the 1st factor of the product is equal to twelve; the 2nd factor of the product is x; the 3rd factor of the product is equal to x 2-th; the 4th factor of the product is equal to y;
  2. fifteen times x 3-th multiplied by y 2-th plus negative thirty two times x multiplied by x 2-th times y raised to the power three plus negative twelve times x times x 2-th times y;