SOLUTION: Which of the following is a simplified expression equal to 9-x(squared) ------------

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Question 123015: Which of the following is a simplified expression equal to 9-x(squared)
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x-3
for all x< -3?
A. 3x B. x+3 C. x-3 D. -x+3 E. -x-3
Found 2 solutions by jim_thompson5910, Mokona!:
Answer by jim_thompson5910(21684) About Me  (Show Source):
You can put this solution on YOUR website!

%289-x%5E2%29%2F%28x-3%29 Start with the given expression


%28-x%5E2%2B9%29%2F%28x-3%29 Rearrange the terms


-%28x%5E2-9%29%2F%28x-3%29 Factor out a negative 1 from -x%5E2%2B9 to get -%28x%5E2-9%29

-%28%28x%2B3%29%28x-3%29%29%2F%28x-3%29 Factor x%5E2-9 to get %28x%2B3%29%28x-3%29




-%28x%2B3%29cross%28%28x-3%29%29%2Fcross%28%28x-3%29%29 Cancel like terms


-%28x%2B3%29 Simplify


-x-3 Distribute the negative


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Answer:

So %289-x%5E2%29%2F%28x-3%29 simplifies to -x-3. In other words %289-x%5E2%29%2F%28x-3%29=-x-3



So this means that the answer is E)

Answer by Mokona!(3) About Me  (Show Source):
You can put this solution on YOUR website!
The answer is E)