Simplify each expression.
16. 3x + 6 over x^2 - 9 divided by 6x^2 + 12x over 4x + 12

Question

Simplify each expression. 
16. 3x + 6 over x^2 - 9 divided by 6x^2 + 12x over 4x + 12

firejay5 · Answer

I just am having difficulty

anonymous · Answer

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anonymous · Answer

sorry i needed to see it written that way, but does that help you at all?

firejay5 · Answer

$$ \frac{ 3x + 6 }{ x^2 - 9 } / \frac{ 6x^2 + 12x }{ 4x + 12 } $$

anonymous · Answer

so, what i would first is the keep it, change it, flip it thing.

firejay5 · Answer

I factored it first

firejay5 · Answer

and then do the keep it, change it, and flip it

anonymous · Answer

that would work too! so then where are you stuck?

firejay5 · Answer

I have this so far $$\frac{ 3(x + 2) }{ (x - 3) (x + 3) } * \frac{ 4(x + 3) }{ 6x(x + 2) }$$

firejay5 · Answer

@Hope_nicole

anonymous · Answer

well you can cross reduce and get rid of the (x+2) and the (x+3)

firejay5 · Answer

so can I just cross reduce it or should I multiply it across and then simplify

anonymous · Answer

well, if you cross reduce first it will make multiplying it easier because it would then look like..

anonymous · Answer

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firejay5 · Answer

is it 12 over 6x(x - 3) is the answer

anonymous · Answer

my math teacher gave me a short cut that if you would multiple (in this case) 3*6x+4*(x-3)/(x-3)6x it would figure out right.

firejay5 · Answer

So what's the answer?

anonymous · Answer

i would say that it is|dw:1363182670484:dw|