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Created on: 2012-04-16

A sample problem solved by Quickmath web math solver

Command

Simplify

Expression
(-x^2)*y^3*(7*x*y^3-x^2*y^2+3*x^3*y)

  1. A product comprising 3 factors; the 1st factor of the product is a negative power; the base is x; the exponent is two; the 2nd factor of the product is equal to a power; the base is y; the exponent is three; the 3rd factor of the product is equal to a sum that comprises 3 terms; the 1st term of the sum is a product consisting of 3 factors; the 1st factor of the product is equal to seven; the 2nd factor of the product is equal to x; the 3rd factor of the product is a power; the base is y; the exponent is three; the 2nd term of the sum is equal to a negative product that consists of 2 factors; the 1st factor of the product is a power; the base is x; the exponent is two; the 2nd factor of the product is a power; the base is y; the exponent is two; the 3rd term of the sum is equal to a product of 3 factors; the 1st factor of the product is three; the 2nd factor of the product is a power; the base is x; the exponent is three; the 3rd factor of the product is equal to y;
  2. open bracket negative x to the power two close bracket multiplied by y to the power of three multiplied by opening brace seven multiplied by x times y raised to the power of three plus negative x raised to the power two multiplied by y to the power of two plus three multiplied by x to the power of three multiplied by y closing brace.
Result
-7*x^3*y^6+x^4*y^5-3*x^5*y^4

  1. A sum comprising 3 terms. The 1st term of the sum is a product containing 3 factors. The 1st factor of the product is negative seven. The 2nd factor of the product is equal to a power. The base is x. The exponent is three. The 3rd factor of the product is equal to a power. The base is y. The exponent is six. The 2nd term of the sum is a product consisting of 2 factors. The 1st factor of the product is equal to a power. The base is x. The exponent is four. The 2nd factor of the product is equal to a power. The base is y. The exponent is five. The 3rd term of the sum is a negative product consisting of 3 factors. The 1st factor of the product is three. The 2nd factor of the product is equal to a power. The base is x. The exponent is five. The 3rd factor of the product is a power. The base is y. The exponent is four.
  2. negative seven multiplied by x raised to the power of three multiplied by y exponentiated by six plus x to the power of four times y to the power five plus negative three multiplied by x to the power of five times y raised to the power four;