Question

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[Part 1 (4 points)] Show all work in dividing 9 x squared minus 1 all over 8 x minus 4 divided by the fraction 3 x squared plus 5 x minus 2 all over 2 x squared plus x minus 1.
[Part 2 (2 points)] Use complete sentences to explain your process.

Answer 1

Just to confirm, is the problem you're solving?
\[\frac{ 9x ^{2} -1 }{ 8x-4 } \div \frac{ 3x^{2}+5x-2 }{ 2x^{2} +x -1 }\]

Answer 2

Yes.

Answer 3

Ok. When you're dividing fractions, it's important to remember that dividing by a fraction is the same as multiplying by the reciprocal of that fraction. So in this example, we'll change the division sign to a multiplication sign and flip the second fraction, so we'll get this:

\[\frac{ 9x^2 -1 }{ 8x -4 } \times \frac{ 2x^2 +x -1 }{ 3x^2+5x -2 }\]

Answer 4

Okay.

Answer 5

Now factor both numerators and both denominators.

Answer 6

http://www.wolframalpha.com/input/?i=%28%289x%5E2%E2%88%921%29%2F%288x%E2%88%924%29%29%C3%B7%28%283x%5E2%2B5x%E2%88%922%29%2F%282x%5E2%2Bx%E2%88%921%29%29

Answer 7

which one?

Answer 8

how would you tell which one?