先化简,再求值:3x눀y–[2xy–2(xy–2分之3x눀y)+x눀y눀],其中x=3,y=–3分

2025-05-10 05:35:05
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回答1:

x²y–[2xy–2(xy–2分之3x²y)+x²y²],其中x=3,y=–1/3
解:x²y–[2xy–2(xy–3x²y/2)+x²y²],

= x²y–[2xy–2xy+3x²y+x²y²],
= x²y–(3x²y+x²y²)
= x²y–3x²y-x²y²
=- x²y(2+y ) [其中x=3,y=–1/3]
=-9×(–1/3)×(2–1/3)
=5