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Created on: 2011-12-11

A sample problem solved by Quickmath web math calculator

how to reduce 3*z2+8*z-1-(2*z2+5*z-3) | a product that consists of 3 factors; x*(57-x^2/10)*(30*x+200) over common denominator

Command

Partial Fractions

Expression
(3*s-1)/(s^2+2*s+5)

  1. A fraction: the numerator of the fraction is a sum consisting 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 three; the second factor of the product is equal to s; the second term of the sum is equal to negative one; the denominator of the fraction is a sum that consists of 3 terms; the first term of the sum is a power; the base is s; the exponent is two; the second term of the sum is a product comprising 2 factors; the first factor of the product is equal to two; the second factor of the product is s; the third term of the sum is equal to five;
  2. three multiplied by s plus negative one divided by s exponentiated by two plus two multiplied by s plus five.

  1. A rational expression: the top of the rational expression is a sum that comprises 2 terms. The first term of the sum is a product comprising 2 factors. The first factor of the product is equal to three. The second factor of the product is equal to s. The second term of the sum is equal to negative one. The bottom of the rational expression is a sum of 3 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 a product consisting of 2 factors. The first factor of the product is two. The second factor of the product is equal to s. The third term of the sum is five.
  2. three times s plus negative one divided by s to the power of two plus two times s plus five.
Result
(3*s-1)/(s^2+2*s+5)

  1. A fraction: the numerator of the fraction is a sum consisting 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 three; the second factor of the product is equal to s; the second term of the sum is equal to negative one; the denominator of the fraction is a sum that consists of 3 terms; the first term of the sum is a power; the base is s; the exponent is two; the second term of the sum is a product comprising 2 factors; the first factor of the product is equal to two; the second factor of the product is s; the third term of the sum is equal to five;
  2. three multiplied by s plus negative one divided by s exponentiated by two plus two multiplied by s plus five.

  1. A rational expression : the top of the rational expression is a sum that comprises 2 terms. The first term of the sum is a product comprising 2 factors. The first factor of the product is equal to three. The second factor of the product is equal to s. The second term of the sum is equal to negative one. The bottom of the rational expression is a sum of 3 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 a product consisting of 2 factors. The first factor of the product is two. The second factor of the product is equal to s. The third term of the sum is five.
  2. three times s plus negative one divided by s to the power of two plus two times s plus five.