Question

How do you simplify `(2a^2 + 6)/(5b^3) * (10b^4)/(3a^2 + 9)`?

Answer 1

Factorise, and then cancel

Explanation:

`=(2(a^2+3))/(5*b^3)*(2*5*b*b^3)/(3(a^2+3)`

`=(2cancel((a^2+3)))/(cancel5*cancelb^3)*(2*cancel5*b*cancelb^3)/(3cancel((a^2+3))`

`=(2*2*b)/3=(4b)/3or4/3b`