计算:(1)[(X-Y)^2-(X+Y)(X-Y)]/(-2Y) (2)(2a+1)^2-(2a+1)(2a-1) (3)(2x-y-3)(2x-y+3)

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计算:(1)[(X-Y)^2-(X+Y)(X-Y)]/(-2Y) (2)(2a+1)^2-(2a+1)(2a-1) (3)(2x-y-3)(2x-y+3)
计算:(1)[(X-Y)^2-(X+Y)(X-Y)]/(-2Y) (2)(2a+1)^2-(2a+1)(2a-1) (3)(2x-y-3)(2x-y+3)

计算:(1)[(X-Y)^2-(X+Y)(X-Y)]/(-2Y) (2)(2a+1)^2-(2a+1)(2a-1) (3)(2x-y-3)(2x-y+3)
(1)[(X-Y)^2-(X+Y)(X-Y)]/(-2Y)
=[(x^2-2xy+y^2)-(x^2-y^2)]/(-2y)
=[x^2-2xy+y^2-x^2+y^2]/(-2y)
=(2y^2-2xy)/(-2y)
=x-y
(2)(2a+1)^2-(2a+1)(2a-1)
=(4a^2+4a+1)-4a^2+1
=4a+2
(3)(2x-y-3)(2x-y+3)
=[(2x-y)-3][(2x-y)+3]
=(2x-y)^2-9
=4x^2-4xy+y^2-9