Confused on how a complex polynomial fractions are simplified in sample problems

I am taking an intermediate algebra course and am stumped on one topic. We are doing complex polynomial fractions and I can figure out how they are simplifying one type of problem. Here is an example:

7 14

___ - ____ 7x^{2} -14x 7x

x x^{2 }___________________ ____________

_________________________ I keep coming up with but am told the answer is simplified to

4 16 4x^{2} -16 4(x+2)

____ - ____

x x^{3}

Please help me understand how this is being simplified. THANKS!!!!

Re: Confused on how a complex polynomial fractions are simplified in sample problems

erg. it formatted that weirdly.

7x*squared* - 14x

________________

4x*squared* -1

is being reduced to:

7x

______

4(x+2)

Re: Confused on how a complex polynomial fractions are simplified in sample problems

Quote:

Originally Posted by

**melbell** erg. it formatted that weirdly.

7x*squared* - 14x

________________

4x*squared* -1

is being reduced to:

7x

______

4(x+2)

Factorise the top and bottom, then cancel any common factors between them.

There are not any common factors, so either you have copied the question down wrong, or your book's answer is wrong.

Re: Confused on how a complex polynomial fractions are simplified in sample problems

Hello, melbell!

Multiply by

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