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Created on: 2012-03-30

A sample problem solved by Quickmath web math calculator

solutions displayed for an (x<=4.164931e+-4). | investigation the way to expand (4*x+1)*(3*x+6)

Command

Partial Fractions

Expression
((-8)*x^2-7*x-5)/(x^3+x^2+2*x+2)

  1. A fraction: the numerator of the fraction is a sum comprising 3 terms. The first term of the sum is equal to a product that consists of 2 factors. The first factor of the product is equal to negative eight. The second factor of the product is a power. The base is x. The exponent is two. The second term of the sum is equal to a negative product that contains 2 factors. The first factor of the product is seven. The second factor of the product is x. The third term of the sum is equal to negative five. The denominator of the fraction is a sum comprising 4 terms. The first term of the sum is equal to a power. The base is x. The exponent is three. The second term of the sum is equal to a power. The base is x. The exponent is two. The third term of the sum is a product of 2 factors. The first factor of the product is two. The second factor of the product is x. The four term of the sum is two.
  2. opening bracket negative eight closing bracket multiplied by x to the power of two plus negative seven multiplied by x plus negative five over x raised to the power three plus x raised to the power two plus two multiplied by x plus two;
Result
(-6*x-1)/(x^2+2)-2/(x+1)

  1. A sum that consists of 2 terms; the first term of the sum is a fraction: the numerator of the fraction is a sum of 2 terms; the first term of the sum is equal to a product that comprises 2 factors; the first factor of the product is equal to negative six; the second factor of the product is equal to x; the second term of the sum is equal to negative one; the denominator of the fraction is a sum containing 2 terms; the first term of the sum is a power; the base is x; the exponent is two; the second term of the sum is equal to two; the second term of the sum is a negative fraction: the numerator of the fraction is two; the denominator of the fraction is a sum containing 2 terms; the first term of the sum is x; the second term of the sum is one;
  2. negative six times x plus negative one over x raised to the power of two plus two plus negative two over x plus one;