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Created on: 2012-03-25

A sample problem solved by Quickmath web math solver

the outcome of factoring a product that comprises 2 factors; 49*x^2-14*x-3 | a product that consists of 2 factors; the first factor of the product is -(3*b+-2*a^2); the second factor of the product is equal to (3*b+2*a^2); factored

Command

Partial Fractions

Expression
(3*s+3)/(s^3+2*s^2+9*s+18)

  1. A quotient: dividend of the quotient is a sum consisting of 2 terms. The first term of the sum is a product that contains 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 three. Divisor of the quotient is a sum that consists of 4 terms. The first term of the sum is equal to a power. The base is s. The exponent is three. The second term of the sum is a product consisting of 2 factors. The first factor of the product is equal to two. The second factor of the product is equal to a power. The base is s. The exponent is two. The third term of the sum is equal to a product comprising 2 factors. The first factor of the product is equal to nine. The second factor of the product is equal to s. The four term of the sum is eighteen.
  2. three multiplied by s plus three divided by s raised to the power of three plus two times s exponentiated by two plus nine times s plus eighteen.
Result
(3*s+33)/(13*(s^2+9))-3/(13*(s+2))

  1. A sum consisting of 2 terms; the first term of the sum is equal to a rational expression: the numerator of the rational expression is a sum that consists of 2 terms; the first term of the sum is equal to a product consisting of 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 thirty three; the denominator of the rational expression is a product comprising 2 factors; the first factor of the product is thirteen; the second factor of the product is equal to a sum consisting 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 nine; the second term of the sum is equal to a negative fraction: the numerator of the fraction is three; the denominator of the fraction is a product that consists of 2 factors; the first factor of the product is equal to thirteen; the second factor of the product is equal to a sum that contains 2 terms; the first term of the sum is equal to s; the second term of the sum is two;
  2. three multiplied by s plus thirty three over thirteen multiplied by opening bracket s to the power of two plus nine closing bracket plus negative three fraction line thirteen multiplied by left parenthesis s plus two right parenthesis.