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Created on: 2011-12-29

A sample problem solved by Quickmath online algebra solver

Command

Partial Fractions

Expression
(-((-3)/2*a^2*x)^2^2)*(((-3)/2*a^3)^2*((-3)/2*x^2)^2-(3/4*a^2+3/2*a^2)*(-((-1)/2*a)^2))

  1. A product consisting of 2 factors. The first factor of the product is equal to a negative power. The base is a product consisting of 3 factors. The first factor of the product is equal to a fraction: the top of the fraction is negative three. The bottom of the fraction is two. The second factor of the product is a power. The base is a. The exponent is two. The third factor of the product is x. The exponent is a power. The base is two. The exponent is two. The second factor of the product is equal to a sum of 2 terms. The first term of the sum is equal to a product that contains 2 factors. The first factor of the product is equal to a power. The base is a product comprising 2 factors. The first factor of the product is equal to a fraction: the numerator of the fraction is negative three. The denominator of the fraction is two. The second factor of the product is equal to a power. The base is a. The exponent is three. The exponent is two. The second factor of the product is equal to a power. The base is a product comprising 2 factors. The first factor of the product is equal to a rational expression: the top of the rational expression is negative three. The bottom of the rational expression is two. The second factor of the product is equal to a power. The base is x. The exponent is two. The exponent is two. The second term of the sum is a negative product that contains 2 factors. The first factor of the product is equal to a sum that consists of 2 terms. The first term of the sum is equal to a product containing 2 factors. The first factor of the product is a rational expression: the top of the rational expression is three. The bottom of the rational expression is four. The second factor of the product is equal to a power. The base is a. The exponent is two. The second term of the sum is equal to a product consisting of 2 factors. The first factor of the product is a rational expression: the numerator of the rational expression is three. The denominator of the rational expression is two. The second factor of the product is equal to a power. The base is a. The exponent is two. The second factor of the product is equal to a negative power. The base is a product that contains 2 factors. The first factor of the product is equal to a fraction: the numerator of the fraction is negative one. The denominator of the fraction is two. The second factor of the product is equal to a. The exponent is two.
  2. open brace negative left parenthesis negative three fraction line two multiplied by a raised to the power of two times x right parenthesis raised to the power of two exponentiated by two close brace multiplied by left bracket open parenthesis negative three divided by two times a to the power three close parenthesis raised to the power two times opening bracket negative three fraction line two multiplied by x raised to the power two closing bracket raised to the power of two plus negative opening brace three divided by four times a exponentiated by two plus three fraction line two times a raised to the power of two closing brace times left parenthesis negative open parenthesis negative one fraction line two times a close parenthesis to the power of two right parenthesis right bracket;
Result
-(6561*a^14*x^8+729*a^12*x^4)/256

  1. A rational expression: the top of the rational expression is a negative sum of 2 terms. The first term of the sum is equal to a product comprising 3 factors. The first factor of the product is equal to six thousand and five hundred and sixty one. The second factor of the product is equal to a power. The base is a. The exponent is fourteen. The third factor of the product is a power. The base is x. The exponent is eight. The second term of the sum is equal to a product of 3 factors. The first factor of the product is equal to seven hundred and twenty nine. The second factor of the product is equal to a power. The base is a. The exponent is twelve. The third factor of the product is equal to a power. The base is x. The exponent is four. The bottom of the rational expression is two hundred and fifty six.
  2. negative left parenthesis six thousand and five hundred and sixty one times a raised to the power of fourteen multiplied by x to the power eight plus seven hundred and twenty nine multiplied by a to the power of twelve times x to the power of four right parenthesis over two hundred and fifty six.