Algebra Question! Simplify:

Question

Simplify:

(x²+x-20)/(x²-2x-15) ÷ (x²-13x+36)/(x²-6x-27)

(A) (-4+x)²(5+x)/(-5+x)(3+x)²

(B) 1

(C) (x+3)/(x-3)

(D) (5+x)/(-5+x)

(E) none of these

Answer 1

[(x+5)(x-4)/((x-5)(x+3)] * [(x+3)(x-9)/(x-4)(x-9)] = (5+x)/(-5+x); So d is correct.

Answer 2

The answer is D.

When you factorized the quadratic expressions and after using division in fraction you will have this: [(X+5)(X-4)/((X-5)(X+3)] x [(X+3)(X-9)/(X-4)(X-9)] = (X+5)/(X-5)