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Mathematics 6 Online
OpenStudy (anonymous):

iumuikm

sam (.sam.):

Is the denominator x^2-9?

sam (.sam.):

Try factor x^2-9 again, you factored it wrong

sam (.sam.):

Nope

sam (.sam.):

\[x^2-9=(x-3)(x+3)\]

sam (.sam.):

No, we gotta factorize it, \[\frac{x^2-5x+6}{x^2-9}= \frac{(x-2)(x-3)}{(x-3)(x+3)}=\frac{(x-2)\cancel{(x-3)}}{\cancel{(x-3)}(x+3)}=\frac{x-2}{x+3}\]

sam (.sam.):

Oh, from step 1 to 2, you factor both denominator and numerator, then cancel like terms from step 2 to 3, leaving x-2/x+3

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