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B
(2x−3y)(2x−3y−4)
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C
(2x+3y)(3x+2y−4)
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D
(2x+3y)(2x+3y−4)
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Solution
The correct option is D(2x+3y)(2x+3y−4) 4x2+12xy+9x2−8x−12y=(2x)2+2×2x×3y+(3y)2−8x−12y=(2x+3y)2−8x−12y[∵(a+b)2=a2+2ab+b2]=(2x+3y)2−4(2x+3y)=(2x+3y)(2x+3y−4)