A) \[4(2x+3y)(x+y-2)\]
B) \[4(2x+3y)(x+y+2)\]
C) \[(2x-3y+7)(2x-3y+2)\]
D) \[(2x+3y-7)(2x+3y+2)\]
Correct Answer: D
Solution :
We have, \[{{(2x+3y)}^{2}}-5(2x+3y)-14\] \[={{(2x+3y)}^{2}}-7(2x+3y)+2(2x+3y)-14\] \[=(2x+3y)(2x+3y-7)+2(2x+3y-7)\] \[=(2x+3y+2)(2x+3y-7)\]
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