Suppose we want to divide
(7x 2 + 14x) ÷ (x + 2)
We first factorise both of them separately
7x 2 + 14x = 7 × x + x + 2 × 7 × x
Taking 7 & 𝑥 common
= 7 x (x + 2)
x + 2 = x + 2
Now, Dividing
(7x 2 + 14x)/(x + 2) = (7x (x + 2))/((x + 2)) = 7x