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若(x+3y)2=(x-3y)2+M,则M为()A.6xyB.12xyC.-6xyD.-12xy
题目详情
若(x+3y)2=(x-3y)2+M,则M为( )
A. 6xy
B. 12xy
C. -6xy
D. -12xy
▼优质解答
答案和解析
根据题意,M=(x+3y)2-(x-3y)2
=(x+3y+x-3y)(x+3y-x+3y)
=2x•6y
=12xy,
故选:B.
=(x+3y+x-3y)(x+3y-x+3y)
=2x•6y
=12xy,
故选:B.
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