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Created on: 2012-02-04

A sample problem solved by Quickmath algebra solver

a sum of 3 terms. 10*x^2+8*x+14+2*x+14 problem solved

Command

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Expression

log((x-5)^3)/((x+2)*(x-1)^2)

  1. A rational expression: the numerator of the rational expression is log of a power. The base is a sum comprising 2 terms. The 1st term of the sum is x. The 2nd term of the sum is negative five. The exponent is three. The denominator of the rational expression is a product that comprises 2 factors. The 1st factor of the product is a sum that consists of 2 terms. The 1st term of the sum is equal to x. The 2nd term of the sum is equal to two. The 2nd factor of the product is equal to a power. The base is a sum that comprises 2 terms. The 1st term of the sum is equal to x. The 2nd term of the sum is negative one. The exponent is two.
  2. logarithm of opening brace x plus negative five closing brace exponentiated by three over left parenthesis x plus two right parenthesis multiplied by opening parenthesis x plus negative one closing parenthesis exponentiated by two;

Result

log(x^3-15*x^2+75*x-125)/(x^3-3*x+2)

  1. A fraction: the top of the fraction is logarithm of a sum consisting of 4 terms; the 1st term of the sum is equal to a power; the base is x; the exponent is three; the 2nd term of the sum is equal to a negative product that comprises 2 factors; the 1st factor of the product is fifteen; 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 a product of 2 factors; the 1st factor of the product is equal to seventy five; the 2nd factor of the product is x; the 4th term of the sum is equal to negative one hundred twenty five; the bottom of the fraction is a sum that consists of 3 terms; the 1st term of the sum is equal to a power; the base is x; the exponent is three; the 2nd term of the sum is equal to a negative product of 2 factors; the 1st factor of the product is equal to three; the 2nd factor of the product is equal to x; the 3rd term of the sum is two;
  2. logarithm of x to the power of three plus negative fifteen times x to the power of two plus seventy five multiplied by x plus negative one hundred twenty five fraction line x to the power three plus negative three times x plus two;