Question

Rewrite $\frac{2}{x^{2}-x-12 } and \frac{1}{x^{2}-16 }$ as equivalent rational expressions with the lowest common denominator.
Provide your answer below:
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Answer 1

Answer:

2(x+4)/(x+3)(x-4)(x+4) and 1(x+3)/(x+3)(x-4)(x+4)

Step-by-step explanation:

Factor x^2-x-12: (x+3)(x-4)

Factor x^2-16: (x+4)(x-4)

So, LCD would be (x+3)(x-4)(x+4)

Rewritten: 2(x+4)/(x+3)(x-4)(x+4) and 1(x+3)/(x+3)(x-4)(x+4)

I hope this helped and have a good rest of your day!

Answer 2

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