[tex] \frac{3x^{2}+3x }{6x^{2}-6x} [/tex] simplifies to [tex] \frac{3x(x+1)}{6x(x-1)} [/tex] which simplifies again to [tex] \frac{x+1}{2(x-1)} [/tex]
Now we simplify the second part.
(x² - 1) simplifies to (x + 1)(x - 1)
Multiply the two parts together and simplify. You get:
[tex] \frac{(x+1)^{2} }{2} or \frac{(x+1)(x+1)}{2} [/tex]
