Question

What is the product?

x^2 -16 • x^3 - 2x^2 + x———— ——————–—
2x +8 x^2 +3x -4

Answer 1

A) x(x-4)(x-1)/2(x+4)

Explanation:

(x²-16)/(2x+8) * (x³-2x²+x)/(x²+3x-4)

factor

(x+4)(x-4)/2(x+4) * x(x-1)(x-1)/(x+4)(x-1)

You can take out both (x+4) from the first side, and both (x-1) on the second side. Then you’re left with:

(x-4)/2 * x(x-1)/(x+4)

which equal

x(x-4)(x-1)/2(x+4)

which is A.