For this case we must find the product of the following expression:
[tex]6 (x ^ 2-1) * \frac {6x-1} {6 (x + 1)}[/tex]
We know that:
[tex](x ^ 2-1) = (x + 1) (x-1)[/tex]
Applying distributive property can be demonstrated:
[tex](x + 1) (x-1) = x ^ 2-x + x-1 ^ 2 = x ^ 2-1[/tex]
We rewrite the given expression:
[tex]6 (x + 1) (x-1) * \frac {6x-1} {6 (x + 1)} =\\\frac {6 (x + 1) (x-1) (6x-1)} {6 (x + 1)} =[/tex]
We cancel similar terms:
[tex](x-1) (6x-1)[/tex]
Answer:
Option D
