SOLUTION: Simplify and state any restrictions on varibles x2-16 ----- x2+3x-4 the x with the 2 beside it is squared thank you

Question 149902: Simplify and state any restrictions on varibles
x2-16
-----
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)
.
Factoring the numerator:
[(x+4)(x-4)]/(x2+3x-4)
.
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}
.
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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