Created on: 2011-12-20

A sample problem solved by Quickmath web algebra calculator

result of finding solution to an inequality 6*x-2 > 5*x-7 | solving x^2+10*x-10 > 0 inequality

Command

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Expression

4*m^2*(N+m^2)/(N-m^2)^2

  1. A rational expression: the numerator of the rational expression is a product that consists of 3 factors; the 1st factor of the product is four; the 2nd factor of the product is equal to a power; the base is m; the exponent is two; the 3rd factor of the product is equal to a sum that consists of 2 terms; the 1st term of the sum is equal to N; the 2nd term of the sum is equal to a power; the base is m; the exponent is two; the denominator of the rational expression is a power; the base is a sum that contains 2 terms; the 1st term of the sum is equal to N; the 2nd term of the sum is equal to a negative power; the base is m; the exponent is two; the exponent is two;
  2. four times m raised to the power two times open brace N plus m to the power of two close brace divided by left bracket N plus negative m raised to the power two right bracket to the power of two.

Result

(4*m^2*N+4*m^4)/(N^2-2*m^2*N+m^4)

  1. A rational expression: the top of the rational expression is a sum containing 2 terms. The 1st term of the sum is equal to a product of 3 factors. The 1st factor of the product is equal to four. The 2nd factor of the product is a power. The base is m. The exponent is two. The 3rd factor of the product is N. The 2nd term of the sum is equal to a product consisting of 2 factors. The 1st factor of the product is four. The 2nd factor of the product is equal to a power. The base is m. The exponent is four. The bottom of the rational expression is a sum consisting of 3 terms. The 1st term of the sum is a power. The base is N. The exponent is two. The 2nd term of the sum is a negative product containing 3 factors. The 1st factor of the product is two. The 2nd factor of the product is equal to a power. The base is m. The exponent is two. The 3rd factor of the product is equal to N. The 3rd term of the sum is equal to a power. The base is m. The exponent is four.
  2. four times m raised to the power of two multiplied by N plus four times m to the power of four over N raised to the power two plus negative two times m raised to the power of two multiplied by N plus m raised to the power of four;