问题 解答题

因式分解

(1)4-12(x-y)+9(x-y)2

(2)2a(x2+1)2-8ax2

答案

(1)4-12(x-y)+9(x-y)2

=22-2×2×3(x-y)+[3(x-y)]2

=[2-3(x-y)]2

=(2-3x+3y)2

(2)2a(x2+1)2-8ax2

=2a[(x2+1)2-4x2],

=2a(x2+1-2x)(x2+1+2x),

=2a(x-1)2(x+1)2

单项选择题
填空题