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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 - 7 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.

 
 Jan 11, 2021
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Area = (x+7)(x+5)-(2x-7)(x+2)

(x+7)(x+5) = x2+12x+35

(2x-7)(x+2) = 2x2-3x-14

(x2+12x+35) - (2x2-3x-14) = -x2+15x+49

 

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 Jan 11, 2021

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