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anonymous
 3 years ago
What is the simplified form of x plus 3 over x squared minus x minus 12 • x minus 4 over x squared minus 8x plus 16 ?
anonymous
 3 years ago
What is the simplified form of x plus 3 over x squared minus x minus 12 • x minus 4 over x squared minus 8x plus 16 ?

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anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0\[\frac{ x+3 }{ x^2x12 }*\frac{ x4 }{ x^28x+16 }\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0First you need to factorize both denominators. i would show you how to factorize the denominator, I would take \(x^2  x 12\) as the example and then you have to proceed yourself.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0I have \(x^2  x  12\) \( x^2 + 3x  4x 12\) = \(x(x+3)  4(x+3)\) \((x4)(x+3)\) This is how I factorized \(x^2x12\) by using "middle term splitting" method. Similarly, factorize \(x^2  8x + 16\) by splitting 8x into 4x and 4x : \(x^2  4x 4x + 16\) and then do the proceedings.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0You will have then : \(\cfrac{x+3}{(x4)(x+3)} \times \cfrac{(x4)}{x^28x+16}\) \(\cfrac{(x+3)(x4)}{(x4)(x+3)(x^28x+16)}\) \(\cfrac{\cancel{(x+3)(x4)}}{\cancel{(x4)(x+3)} (x^28x+16)}\) \(\cfrac{1}{x^28x+16}\) put the factorized form of \(x^28x+16\) on the place of it and you will get the required answer. I hope it helped. Post here if you get any problem Do not forget to tell what you get.. best of luck!

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0I got \[\frac{ 1 }{ (x  4)^2 }\]is that correct?
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