Question

Using complete sentences, explain each step in simplifying the ratio x^2-x-20/x^2+8x+16 and provide the simplified form.

Answer 1

(x^2 - x - 20) / (x^2 + 8x + 16)
Factor the numerator and denominator, producing
[(x+4)(x-5)] / (x+4)^2

Divide both numerator and denominator by the common factor, x+4:
(x - 5) / (x + 4)

That's the simplified form.