先化简再求值初一数学 100
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(x-y)(x-2y)+(x-2y)(x-3y)-2(x-3y)(x-4y)
=(x-y)(x-2y)+(x-2y)(x-3y)-2(x-3y)(x-4y)
=(x-2y){(x-y)+(x-3y)}-2(x-3y)(x-4y)
=2(x-2y)^2-2(x-3y)(x-4y)
=2{(x-2y)^2-(x-3y)(x-4y)}
=2{(x^2-4xy+4y^2)-(x^2-7xy+12y^2)}
=2(3xy-8y^2)
=6xy-16y^2
其中x=4,y=3/2
6xy-16y^2
=6*4*3/2-16*(3/2)^2
=36-36
=0
=(x-y)(x-2y)+(x-2y)(x-3y)-2(x-3y)(x-4y)
=(x-2y){(x-y)+(x-3y)}-2(x-3y)(x-4y)
=2(x-2y)^2-2(x-3y)(x-4y)
=2{(x-2y)^2-(x-3y)(x-4y)}
=2{(x^2-4xy+4y^2)-(x^2-7xy+12y^2)}
=2(3xy-8y^2)
=6xy-16y^2
其中x=4,y=3/2
6xy-16y^2
=6*4*3/2-16*(3/2)^2
=36-36
=0
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