问题
解答题
运用乘法公式计算.
(1)(x+y)2-(x-y)2;
(2)(x+y-2)(x-y+2);
(3)79.8×80.2;
(4)19.92.
答案
(1)(x+y)2-(x-y)2
=(x+y+x-y)(x+y-x+y),
=4xy;
(2)(x+y-2)(x-y+2),
=[x+(y-2)][x-(y-2)],
=x2-y2+4y-4;
(3)79.8×80.2,
=(80-0.2)(80+0.2),
=6399.96;
(4)19.92=(20-0.1)2
=400-2×20×0.1+0.01,
=396.01.