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Tamiku [17]
3 years ago
9

I don't know how to simplify this question. Is quotient rule necessary?

Mathematics
1 answer:
barxatty [35]3 years ago
5 0

Answer:

The answer to your question is \frac{(x+1)^{2}(x - 23)}{(x-7)^{3}}, because the directions says to give the answer in factor form.

Step-by-step explanation:

                               \frac{3(x+1)^{2}(x-7)^{2}- (x+1)^{3}(2)(x - 7)}{(x - 7)^{4}}

Factor like terms   (x - 7)(x + 1)²

                               \frac{(x - 7)(x + 1)^{2}[3(x - 7) - 2(x + 1)}{(x - 7)^{4}}

Simplify

                              \frac{(x+1)^{2}[3(x - 7) - 2(x+1)]}{(x-7)^{3}}

Expand

                              \frac{(x+1)^{2}[3x - 21 -2x - 2]}{(x - 7)^{3}}

Simplify

                             \frac{(x + 1)^{2}(x - 23)}{(x - 7)^{3}}    

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