
化简求值:(2x^2-(x+y)(x-y))((-x-y)(-x+y)+2y^2),其中x=-1,y=-2
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(2x^2-(x+y)(x-y))((-x-y)(-x+y)+2y^2)
=(2x^2-(x^2-y^2))((x^2-y^2)+2y^2)
=(2x^2-x^2+y^2)(x^2-y^2+2y^2)
=(x^2+y^2)(x^2+y^2)
=(x^2+y^2)^2
=[(-1)^2+(-2)^2]^2
=(1+4)^2
=5^2
=25
=(2x^2-(x^2-y^2))((x^2-y^2)+2y^2)
=(2x^2-x^2+y^2)(x^2-y^2+2y^2)
=(x^2+y^2)(x^2+y^2)
=(x^2+y^2)^2
=[(-1)^2+(-2)^2]^2
=(1+4)^2
=5^2
=25
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