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A rectangle's sides change from x,y to x+2,y−3, where x>0,y>3. New area minus old?

A3x − 2y − 6
B2y + 3x − 6
C2y − 3x + 6
D2y − 3x − 6
Answer & Solution
Correct answer: D. 2y − 3x − 6
The area change is (x + 2)(y − 3) − xy = xy − 3x + 2y − 6 − xy = 2y − 3x − 6.
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