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Created on: 2012-04-01

A sample problem solved by Quickmath online math calculator

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Expression

(24*x^2-10*x-120)/(x^2+5)^2

  1. A rational expression: the numerator of the rational expression is a sum containing 3 terms. The 1st term of the sum is equal to a product that consists of 2 factors. The 1st factor of the product is equal to twenty four. The 2nd factor of the product is equal to a power. The base is x. The exponent is two. The 2nd term of the sum is a negative product containing 2 factors. The 1st factor of the product is equal to ten. The 2nd factor of the product is equal to x. The 3rd term of the sum is negative one hundred twenty. The denominator of the rational expression is a power. The base is a sum containing 2 terms. The 1st term of the sum is a power. The base is x. The exponent is two. The 2nd term of the sum is five. The exponent is two.
  2. twenty four multiplied by x to the power two plus negative ten times x plus negative one hundred twenty divided by opening parenthesis x raised to the power of two plus five closing parenthesis raised to the power two;

Result

(24*x^2-10*x-120)/(x^4+10*x^2+25)

  1. A quotient: dividend of the quotient is a sum that contains 3 terms; the 1st term of the sum is equal to a product of 2 factors; the 1st factor of the product is equal to twenty four; the 2nd factor of the product is a power; the base is x; the exponent is two; the 2nd term of the sum is a negative product containing 2 factors; the 1st factor of the product is equal to ten; the 2nd factor of the product is equal to x; the 3rd term of the sum is equal to negative one hundred twenty; divisor of the quotient is a sum consisting of 3 terms; the 1st term of the sum is equal to a power; the base is x; the exponent is four; the 2nd term of the sum is equal to a product that consists of 2 factors; the 1st factor of the product is equal to ten; the 2nd factor of the product is equal to a power; the base is x; the exponent is two; the 3rd term of the sum is equal to twenty five;
  2. twenty four times x raised to the power two plus negative ten times x plus negative one hundred twenty divided by x raised to the power of four plus ten multiplied by x raised to the power two plus twenty five;