问题 解答题

计算:

①(6m2-4mn-3n2)-(2m2-4mn+n2

②(-3a2b32•4(-a3b)3

③(x-3)2-2(x+2)(x-2);

④(2x-y+1)(2x+y-1);

⑤(a+b)2(a-b)2

⑥因式分4a2x2+8axy+12axy2

答案

①(6m2-4mn-3n2)-(2m2-4mn+n2

=6m2-4mn-3n2-2m2+4mn-n2

=4m2-4n2

②(-3a2b32•4(-a3b)3

=9a4b6•(-4a9b3

=-36a13b9

③(x-3)2-2(x+2)(x-2)

=x2-6x+9-2(x2-4)

=3x2-6x+17;

④(2x-y+1)(2x+y-1)

=(2x)2-(y-1)2

=4x2-(y2-2y+1)

=4x2-y2+2y-1;

⑤(a+b)2(a-b)2

=(a2-b22

=a4-2a2b2+b4

⑥4a2x2+8axy+12axy2=4ax(ax+2y+3y2).

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