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SIMPLIFYING RATIONAL EXPRESSIONS HELP??
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use the fact that a/b/c/d = a/b divided by c/d to solve
to simplify*. x^2-1/x^2-9 divided by x^2+3x-4/x^2+8x+15
\[\frac{ x^{2}-1 }{ x^{2}-9 } \div \frac{ x ^{2}+3x-4 }{ x ^{2}+8x+15 }\] Is that the problem?
please use these identities: \[\begin{gathered} {x^2} - 1 = \left( {x - 1} \right)\left( {x + 1} \right) \hfill \\ {x^2} - 9 = \left( {x - 3} \right)\left( {x + 3} \right) \hfill \\ {x^2} + 3x - 4 = \left( {x - 1} \right)\left( {x + 4} \right) \hfill \\ {x^2} + 8x + 15 = \left( {x + 3} \right)\left( {x + 5} \right) \hfill \\ \end{gathered} \]
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