SOLUTION: 3a^2-48 all over a^2+8a+16

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Question 117814This question is from textbook Algebra, structure and meathod, book 1
: 3a^2-48 all over a^2+8a+16 This question is from textbook Algebra, structure and meathod, book 1

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%283a%5E2-48%29%2F%28a%5E2%2B8a%2B16%29 Start with the given expression

3%28a%2B4%29%28a-4%29%2F%28a%5E2%2B8a%2B16%29 Factor 3a%5E2-48 to get 3%28a%2B4%29%28a-4%29

3%28a%2B4%29%28a-4%29%2F%28%28a%2B4%29%28a%2B4%29%29 Factor a%5E2%2B8a%2B16 to get %28a%2B4%29%28a%2B4%29




3cross%28%28a%2B4%29%29%28a-4%29%2Fcross%28%28a%2B4%29%29%28a%2B4%29 Cancel like terms


3%28a-4%29%2F%28a%2B4%29 Simplify


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Answer:

So %283a%5E2-48%29%2F%28a%5E2%2B8a%2B16%29 simplifies to 3%28a-4%29%2F%28a%2B4%29. In other words %283a%5E2-48%29%2F%28a%5E2%2B8a%2B16%29=3%28a-4%29%2F%28a%2B4%29