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.
Area of lareger rectangle = L x W
(x+7) * (x+5) = x^2 + 12x + 35 Now subtract the area of the hole
Hole area (2x-3)(x-2) = 2x^2 -7x+6
(x^2 + 12x+35 ) - (2x^2 -7x +6) = area without including hole......simplify
- x^2 + 19x + 29