问题 解答题

因式分

(1)ax2-16ay2

(2)-2a3+12a2-18a;

(3)4+12(x-y)+9(x-y)2

答案

(1)ax2-16ay2

=a(x2-16y2),

=a(x+4y)(x-4y);

(2)-2a3+12a2-18a,

=-2a(a2-6a+9),

=-2a(a-3)2

(3)4+12(x-y)+9(x-y)2

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

=(3x-3y+2)2

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