化简求值(利用公式)(1)(x+y)²(x
(1)(x+y)²(x-y)²-(x-y)(x+y)(x²+y²) (2)(x+y-2)(x-y+2) (3)(x-y)(x+y)+(x-y)+(x+y)
(1) (x+y)²(x-y)²-(x-y)(x+y)(x²+y²) =(x+y)(x-y)(x+y)(x-y)-(x-y)(x+y)(x²+y²) =(x²-y²)(x²-y²)-(x²-y²)(x²+y²) =(x²-y²)[(x²-y²)-(x²+y²)] =-2y²(x²-y²) (2) (x+y-2)(x-y+2) =[x+(y-2),x-(y-2)] =x²-(y-2)² =x²-y²+4y-4 (3) (x-y)(x+y)+(x-y)+(x+y) =x²-y²+2x