Question

How do you multiply `(4(x+2))/(5x)*(6x^2)/(2x)`?

Answer 1

`(12(x+2))/5`

Explanation:

Firstly, I will write the generalised formula. `a/b*c/d=(ac)/(bd)`

So, we have `(4(x+2))/(5x)*(6x^2)/(2x)=(4(x+2)(6x^2))/(5x(2x))=(24x^2(x+2))/(10x^2)`

`(24cancel(x^2)(x+2))/(10cancel(x^2))=(24(x+2))/10=(12(x+2))/5`