已知x-y=3,求代数式(x+y)(x-y)+(x-y)²-(2xy-2y)²的值

问题描述:

已知x-y=3,求代数式(x+y)(x-y)+(x-y)²-(2xy-2y)²的值

(x+y)(x-y)+(x-y)²-(2xy-2y)²
=(x+y)(x-y)+(x-y)²-4y^2(x-1)²
=-4y^2(x-1)²

(x+y)(x-y)+(x-y)²-(2xy-2y)²
=(x+y)(x-y)+(x-y)²-4y^2(x-1)²
=-4y^2(x-1)²
只能到这了啊

﹙x-y﹚﹙x+y+x-y-2y﹚=2﹙x-y﹚﹙x-y﹚=2×3×3=18