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Created on: 2012-01-10

A sample problem solved by Quickmath online math solver

study easy methods to multiply out a sum consisting of 3 terms;

Command

Partial Fractions

Expression
(a*s^2+64*a+b*s^2+c*s)/(s*(s^2+64))

  1. A fraction: the numerator of the fraction is a sum comprising 4 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 a; the second factor of the product is equal to a power; the base is s; the exponent is two; the second term of the sum is a product consisting of 2 factors; the first factor of the product is sixty four; the second factor of the product is equal to a; the third term of the sum is a product containing 2 factors; the first factor of the product is equal to b; the second factor of the product is equal to a power; the base is s; the exponent is two; the four term of the sum is a product consisting of 2 factors; the first factor of the product is c; the second factor of the product is s; the denominator of the fraction is a product containing 2 factors; the first factor of the product is equal to s; the second factor of the product is equal to a sum that consists of 2 terms; the first term of the sum is equal to a power; the base is s; the exponent is two; the second term of the sum is equal to sixty four;
  2. a multiplied by s exponentiated by two plus sixty four multiplied by a plus b multiplied by s raised to the power of two plus c multiplied by s divided by s multiplied by left bracket s raised to the power two plus sixty four right bracket;
Result
(b*s+c)/(s^2+64)+a/s

  1. A sum containing 2 terms. The first term of the sum is a fraction: the top 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 b. The second factor of the product is equal to s. The second term of the sum is c. The bottom of the fraction is a sum that contains 2 terms. The first term of the sum is equal to a power. The base is s. The exponent is two. The second term of the sum is equal to sixty four. The second term of the sum is equal to a fraction: the numerator of the fraction is a. The denominator of the fraction is s.
  2. b times s plus c fraction line s to the power of two plus sixty four plus a divided by s.