SOLUTION: The problem states: Divide and simply: (x^2 - 16)/(x^2 + 4x + 4) ÷ (x^2 + 3x - 4)/(x^2 - x - 2) Please help.

Algebra ->  Algebra  -> Numeric Fractions Calculators, Lesson and Practice  -> Fraction to Decimal conversion -> SOLUTION: The problem states: Divide and simply: (x^2 - 16)/(x^2 + 4x + 4) ÷ (x^2 + 3x - 4)/(x^2 - x - 2) Please help.      Log On

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Question 114978: The problem states:
Divide and simply:
(x^2 - 16)/(x^2 + 4x + 4) ÷ (x^2 + 3x - 4)/(x^2 - x - 2)

Please help.
Answer by scott8148(5890) About Me  (Show Source):
You can put this solution on YOUR website!
%28%28x%5E2+-+16%29%2F%28x%5E2+%2B+4x+%2B+4%29%29%2F%28%28x%5E2+%2B+3x+-+4%29%2F%28x%5E2+-+x+-+2%29%29 ___ factoring gives %28%28%28x%2B4%29%28x-4%29%29%2F%28%28x%2B2%29%28x%2B2%29%29%29%2F%28%28%28x%2B4%29%28x-1%29%29%2F%28%28x%2B2%29%28x-1%29%29%29 ___ cancel (x-1) in the denominator

multiplying the numerator and denominator by the inverse of the denominator gives %28%28%28x%2B4%29%28x-4%29%29%2F%28%28x%2B2%29%28x%2B2%29%29%29%28%28x%2B2%29%2F%28x%2B4%29%29

cancelling gives %28x-4%29%2F%28x%2B2%29