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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 $(2x-3)$ 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 $x$.

 Jul 7, 2020
 #1
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Step 1: Calculate the area of the large rectangle, expanding all brackets

Step 2: Calculate the area of the hole, expanding all brackets

Step 3: Subtract the area of the hole from that of the large rectangle.

 Jul 7, 2020

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