#### notes

Consider `(7x^2 + 14x) ÷ (x + 2)`

We shall factorise `(7x^2 + 14x)` first to check and match factors with the denominator:

`7x^2 + 14x = (7 × x × x) + (2 × 7 × x)`

`= 7 × x × (x + 2) = 7x(x + 2)`

Now `(7x^2 + 14x) ÷ (x + 2) = (7x^2 + 14x)/(x + 2)`

`(7x(x + 2))/(x + 2)` = 7x ...(Cancelling the factors (x + 2))