Question 170640: 1. divide and simplify (x^2-16/x^2+4x+4) divided by (x^2+3x-4/x^2-x-2)
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 1. divide and simplify (x^2-16/x^2+4x+4) divided by (x^2+3x-4/x^2-x-2)
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Factor where you can:
= [(x-4)(x+4)/(x+2)^2] / [(x+4)(x-1)/(x-2)(x+1)]
Invert the denominator and multiply:
= [(x-4)(x+4)/(x+2)^2] * [(x-2)(x+1)/(x+4)(x-1)]
Cancel factors that are common to a numerator and a denominator,
such as (x+4),
= [(x-4)/(x+2)^2] * [(x-2)(x+1)/(x-1)]
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Cheers,
Stan H.
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