解:(1)(﹣2xy3z2)4 =(﹣2)4x4(y3)4(z2)4 =16x4y12z8; (2)(xy+4)(xy﹣4) =(xy)2﹣42=x2y2﹣16; (3)(2x﹣3)(x﹣1) =2x2﹣2x﹣3x+3 =2x2﹣5x+3; (4)(54x2y﹣108xy2﹣36xy)÷(18xy) =54x2y÷18xy﹣108xy2÷18xy﹣36xy÷18xy =3x﹣6y﹣2; (5)a2bc3(﹣2a2b2c)2=a2bc3×4a4b4c2=2a6b5c5; (6)(x+y)2﹣(x﹣y)2=[(x+y)+(x﹣y)][(x+y)﹣(x﹣y)] =(x+y+x﹣y)×(x+y﹣x+y) =2x×2y =4xy. |