SOLUTION: 63-7a^2/a^3-9a A) -7/a+3 B) -7(9-a^2)/a(a^2-9) C)-7/a-3 D)-7/a

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Question 1006490: 63-7a^2/a^3-9a
A) -7/a+3 B) -7(9-a^2)/a(a^2-9) C)-7/a-3 D)-7/a
Answer by Ani_g(8) About Me  (Show Source):
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(63-7a^2)/(a^3-9a) = {7(9-a^2)}/{a(a^2-9)} = {7(3^2-a^2)}/{a(a^2-3^2)} = (7(3-a)(3+a)}/{a(a+3)(a-3)} = {-7(a-3)(a+3)}/{a(a-3)(a+3)} = -7/a
Ans. D) -7/a