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 one year 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 ?
 one year 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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DeadShot
 one year ago
Best ResponseYou've already chosen the best response.1\[\frac{ x+3 }{ x^2x12 }*\frac{ x4 }{ x^28x+16 }\]

SheldonEinstein
 one year ago
Best ResponseYou've already chosen the best response.2First 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.

SheldonEinstein
 one year ago
Best ResponseYou've already chosen the best response.2I 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.

SheldonEinstein
 one year ago
Best ResponseYou've already chosen the best response.2You 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!

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