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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
 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
 one year ago

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

SheldonEinsteinBest ResponseYou've already chosen the best response.1
First 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.
 one year ago

SheldonEinsteinBest ResponseYou've already chosen the best response.1
I 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.
 one year ago

SheldonEinsteinBest ResponseYou've already chosen the best response.1
You 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!
 one year ago

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