问题
计算题
(1)(2x2)3﹣6x3(x3+2x2+x)
(2)x(x﹣y)+(2x+y)(x﹣y)
(3)(3mn+1)(3mn﹣1)﹣8m2n2
(4)[(x+y)2﹣(x﹣y)2]÷(2xy)
答案
解:(1)原式=8x6﹣6x6﹣12x5﹣6x4=2x6﹣12x5﹣6x4;
(2)原式=x2﹣xy+2x2﹣xy﹣y2=3x2﹣2xy﹣y2;
(3)原式=9m2n2﹣1﹣8m2n2=m2n2﹣1;
(4)原式=[x2+2xy+y2﹣x2+2xy﹣y2] ÷2xy=4xy÷2xy=2.