Which of the following are equal to the rational expression below? x^2+x-6/x^2-2x-15
1 answer:
Hello from MrBillDoesMath!
Answer:
(x-2)/(x-5)
Discussion:
Factor the numerator and denominator:
x^2 + x - 6 = (x+3)(x-2)
x^2-2x-15 = (x+3)(x-5)
So
(
x^2 + x - 6) / x^2-2x-15 = ( (x+3)(x-2) ) / ( (x+3)(x-5) )
Cancelling the (x+3) term in numerator and denominator gives
(x-2)/(x-5)
Regards,
MrB
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