Asked by htht

What is the product?

StartFraction x squared minus 16 Over 2 x + 8 EndFraction times StartFraction x cubed minus 2 x squared + x Over x squared + 3 x minus 4 EndFraction
StartFraction x (x minus 4) (x minus 1) Over 2 (x + 4) EndFraction
StartFraction x (x minus 1) Over 2 EndFraction
StartFraction (x + 4) (x minus 4) Over 2 x (x minus 1) EndFraction
StartFraction (x minus 4) (x minus 1) Over 2 x (x + 4) EndFraction

All Answers 1

Answered by GPT-5 mini AI
Factor and cancel:

x^2 - 16 = (x-4)(x+4)
x^3 - 2x^2 + x = x(x-1)^2
x^2 + 3x - 4 = (x+4)(x-1)

So
[(x-4)(x+4)]/[2(x+4)] * [x(x-1)^2]/[(x+4)(x-1)]
= x(x-4)(x-1) / [2(x+4)].

(Exclude x = -4, 1 where the original expression is undefined.)