A large rectangle has side lengths of (x+7) and (x+5). In the large rectangle, there is a rectangular hole with side lengths of (2x−3) and (x−2). What is the area of the large rectangle (not including the area of the hole)? Express your answer as a polynomial in x.
+781 The area of the entire large rectangle is (x+7)(x+5). The hole is (2x-3)(x-2). Not including the area of the hole, the area of the large rectangle would be (x+7)(x+5)-(2x-3)(x-2).
(x+7)(x+5)-(2x-3)(x-2)
=x^2+12x+35-2x^2-7x+6
=-x^2+19x+29
