Question

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

Answer 1

`(3x^(2)+3x )/(6x^(2)-6x)` simplifies to
`(3x(x+1))/(6x(x-1))` which simplifies again to
`(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:

`((x+1)^(2) )/(2) or ((x+1)(x+1))/(2)`