Question

How do you simplify `(3a - 6) /( 6a + 12) *(3a^2 - 12)/(a^2 - 5a + 6)`?

Answer 1

`(3a-6)/(2a-6)`

Explanation:

`(3a-6)/(6a+12)xx(3a^2-12)/(a^2-5a+6)`

First we factorise

`(3(a-2))/(6(a+2))xx(3(a-2)(a+2))/((a-2)(a-3))`

Cancel down

`1/2xx(3(a-2))/(a-3)`

`(3(a-2))/(2(a-3))=(3a-6)/(2a-6)`