Question

Simplify (3a^2-6a+3)/(a^2-1) if a is not 1

Answer 1

`(3a^2-6a+3)/(a^2-1)\\\\=(3(a^2 -2a+1))/((a+1)(a-1))\\\\=(3(a-1)^2)/((a+1)(a-1))\\\\=(3(a-1))/(a+1)\\\\=(3a-3)/(a+1) ~~~\text{for}~ a\\eq 1`