Question

X squared minus 4X minus 32 / x squared + 7x + 12

Answer 1

(x² - 4x - 32) / (x² +7x +12)
factor both the numerator and denominator
[(x-8)(x+4)] / [(x+3)(x+4)]
Since (x+4) is in both the numerator and denominator, it can be cancelled out:

(x-8)/(x+3) is the simplified form