化简(x+y+1)(1-x-y)+(x-y)^2
2012-07-11 · 知道合伙人教育行家
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(x+y+1)(1-x-y)+(x-y)^2
=1-(x+y)^2+(x-y)^2
=1-x^2-y^2-2xy+x^2+y^2-2xy
=1-4xy
=1-(x+y)^2+(x-y)^2
=1-x^2-y^2-2xy+x^2+y^2-2xy
=1-4xy
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(x+y+1)(1-x-y)+(x-y)^2
=(x+y+1)[1-(x+y)]+(x-y)^2
=1-(x+y)^2+(x-y)^2
=1-x^2-2xy-y^2+x^2-2xy+y^2
=1-44xy
=(x+y+1)[1-(x+y)]+(x-y)^2
=1-(x+y)^2+(x-y)^2
=1-x^2-2xy-y^2+x^2-2xy+y^2
=1-44xy
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(x+y+1)[1-(x+y)]+(x+y)^2
=1-(x+y)^2+(x-y)^2
=(x-y+x+y)(x-y-x-y)+1
=-4xy+1
=1-(x+y)^2+(x-y)^2
=(x-y+x+y)(x-y-x-y)+1
=-4xy+1
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