已知xy=-2,x+y=4,求整式(4xy+11y)+[5x-(3xy+2y-4x)]的值。
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解:因为Xy=-2,X+y=4,所以
(4Xy+11y)+[5X-(3Xy+2y-4X)]
=4Xy+11y+5X-3Xy-2y+4X
=4Xy-3Xy+11y-2y+5X+4X
=Xy+9X+9y
=Xy+9(X+y)
=-2+9×4
=34
(4Xy+11y)+[5X-(3Xy+2y-4X)]
=4Xy+11y+5X-3Xy-2y+4X
=4Xy-3Xy+11y-2y+5X+4X
=Xy+9X+9y
=Xy+9(X+y)
=-2+9×4
=34
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已知xy=-2,x+y=4,求整式(4xy+11y)+[5x-(3xy+2y-4x)]的值。
(4xy+11y)+[5x-(3xy+2y-4x)]
=(4×(-2)+11y)+[5x-(3×-2+2y-4x)]
=(-8+11y)+[5x-(-6+2y-4x)]
=-8+11y+5x+6-2y+4x
=-2+9y+9x
=-2+9(y+x)
=-2+9×4
=-2+36
=34
望采纳 谢谢~~
(4xy+11y)+[5x-(3xy+2y-4x)]
=(4×(-2)+11y)+[5x-(3×-2+2y-4x)]
=(-8+11y)+[5x-(-6+2y-4x)]
=-8+11y+5x+6-2y+4x
=-2+9y+9x
=-2+9(y+x)
=-2+9×4
=-2+36
=34
望采纳 谢谢~~
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