A) \[6{{x}^{2}}-14xy-12{{y}^{2}}-13x+59y-24\]
B) \[6{{x}^{2}}-12xy-18{{y}^{2}}-17x+61y-29\]
C) \[8{{x}^{2}}-14xy-12{{y}^{2}}-13x+57y-24\]
D) \[8{{x}^{2}}-14xy-12{{y}^{2}}-17x+61y-29\]
Correct Answer: A
Solution :
\[(3x+2y-9)\,(2x-6y+2)\] \[[(4x-9y-1)]+[-3x+8y+7]\] \[=(6{{x}^{2}}-18xy+6x+4xy-12{{y}^{2}}+4y-18x+\] \[54y-18)\,-(x-y+6)\] \[=6{{x}^{2}}-12{{y}^{2}}-14xy-12x+58y-18-x+y-6\]\[=6{{x}^{2}}-12{{y}^{2}}-14xy-13x+59y-24\]
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