Command Partial Fractions Expression 
- A fraction: the top of the fraction is a sum of 3 terms. The 1st term of the sum is equal to a power. The base is x. The exponent is four. The 2nd term of the sum is equal to a product comprising 2 factors. The 1st factor of the product is nine. The 2nd factor of the product is equal to x. The 3rd term of the sum is equal to fifteen. The bottom of the fraction is a product that comprises 2 factors. The 1st factor of the product is a sum that contains 2 terms. The 1st term of the sum is equal to x. The 2nd term of the sum is negative one. The 2nd factor of the product is a power. The base is a sum containing 2 terms. The 1st term of the sum is equal to a power. The base is x. The exponent is two. The 2nd term of the sum is equal to four. The exponent is two.
- x raised to the power four plus nine times x plus fifteen fraction line open bracket x plus negative one close bracket multiplied by left bracket x raised to the power two plus four right bracket exponentiated by two.
Result
- A sum comprising 2 terms. The 1st term of the sum is equal to a quotient: dividend of the quotient is a sum comprising 2 terms. The 1st term of the sum is equal to one. The 2nd term of the sum is equal to a negative product consisting of 2 factors. The 1st factor of the product is equal to eight. The 2nd factor of the product is x. Divisor of the quotient is a power. The base is a sum of 2 terms. The 1st term of the sum is equal to a power. The base is x. The exponent is two. The 2nd term of the sum is equal to four. The exponent is two. The 2nd term of the sum is equal to a fraction: the numerator of the fraction is one. The denominator of the fraction is a sum of 2 terms. The 1st term of the sum is equal to x. The 2nd term of the sum is equal to negative one.
- one plus negative eight multiplied by x over open brace x to the power of two plus four close brace to the power of two plus one divided by x plus negative one;
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