Answer:
(x – 1)(6x – 1)
Step-by-step explanation:
The expression that we have to solve is the following:
[tex]6(x^2-1) \frac{6x-1}{6(x+1)}[/tex]
To solve this expression, we factorize the first term in the brackets using the following property:
[tex](a^2-b^2)=(a+b)(a-b)[/tex]
where in our case:
[tex]a=x\\b=1[/tex]
Therefore,
[tex](x^2-1)=(x+1)(x-1)[/tex]
Therefore the initial expression becomes
[tex]6(x+1)(x-1)\frac{6x-1}{6(x+1)}[/tex]
Now we see that we can simplify [tex]6(x+1)[/tex] from the numerator and the denominator, so we are left with
[tex](x-1)(6x-1)[/tex]
