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.

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