Question

Find the area of the shaded region.

Express the area in factored form.

Answer 1

(x-1)(x+3)

Explanation:

The area of the big green rectangle is just x(x+2) which is
`x^2+2x`. (Excluding the interior rectangle) The shaded area is just this minus three which is
`x^2+2x-3`. In factored form this is (x-1)(x+3).

Hope this helps!