What is the product? 6 (x squared minus 1) times StartFraction 6 x minus 1 Over 6 (x + 1) EndFraction 6(x – 1)2 6(x2 – 1) (x + 1)(6x – 1) (x – 1)(6x – 1)

Question

asked Jun 14, 2021 84.1k views

2 Answers

Michael Langhammer · Answer 1 · 2021-06-19T01:20:51+0000

Option D:
(6x-1)(x-1) is the product of the expression

Step-by-step explanation:

The expression is
6(x^(2) -1)*(6x-1)/(6(x+1))

We need to determine the product of the expression.

To determine the product of the expression, we need to simplify the given expression.

Thus, we have,

6(x^(2) -1^2)*(6x-1)/(6(x+1))

The term
(x^(2) -1^2) is of the form
a^2-b^2

Now, we shall use the identity,
a^2-b^2=(a+b)(a-b)

Hence, we have,

6(x+1)(x-1)*(6(x-1))/(6(x+1))

Multiplying the terms and cancelling the common terms, we get,

(x-1)*({6x-1})

Hence, the product of the given expression is
(6x-1)(x-1)

Therefore, Option D is the correct answer.