Question

I'm stuck need help please. `(a^3+8)/( a+2)` ?

Answer 1

`a^2 +2a+4`

Explanation:

The numerator is the sum of cubes which can be factored:

`color(blue)((a^3+8))/(a+2) = (color(blue)((a+2)(a^2+2a+4)))/((a+2))`

Now cancel the like factors:

`=(cancel((a+2))(a^2+2a+4))/(cancel((a+2)))`

`=a^2 +2a+4`