What is the product?

Question

asked Feb 14, 2020 200k views

2 Answers

German Alzate · Answer 1 · 2020-02-20T20:52:26+0000

For this case we must find the product of the following expression:

$6 (x ^ 2-1) * \frac {6x-1} {6 (x + 1)}$

We know that:

(x ^ 2-1) = (x + 1) (x-1)

Applying distributive property can be demonstrated:

(x + 1) (x-1) = x ^ 2-x + x-1 ^ 2 = x ^ 2-1

We rewrite the given expression:

$6 (x + 1) (x-1) * \frac {6x-1} {6 (x + 1)} =\\\frac {6 (x + 1) (x-1) (6x-1)} {6 (x + 1)} =$

We cancel similar terms:

(x-1) (6x-1)

Answer:

Option D