Question 149902: Simplify and state any restrictions on varibles
x2-16
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x2+3x-4
the x with the 2 beside it is squared
thank you
Answer by nerdybill(7384)   (Show Source):
You can put this solution on YOUR website! (x^2-16)/(x2+3x-4)
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Factoring the numerator:
[(x+4)(x-4)]/(x2+3x-4)
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Factoring the denominator:
[(x+4)(x-4)]/[(x+4)(x-1)]
NOTICE, the entire expression is "undefined" if the denominator goes to zero. It will be zero if x = {-4, 1}
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Going back to:
[(x+4)(x-4)]/[(x+4)(x-1)]
Canceling out the (x+4) we get our solution of:
(x-4)/(x-1)
if x DOES NOT equal -4 or 1
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