Question

3x squared + 3x over 6x squared -6x times (x squared - 1)

Answer 1

$\frac{3x^{2}+3x }{6x^{2}-6x}$ simplifies to $\frac{3x(x+1)}{6x(x-1)}$ which simplifies again to $\frac{x+1}{2(x-1)}$

Now we simplify the second part.

(x² - 1) simplifies to (x + 1)(x - 1)

Multiply the two parts together and simplify. You get:
$\frac{(x+1)^{2} }{2} or \frac{(x+1)(x+1)}{2}$