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把下列各式因式分解:
(1)-36x2+12xy-y2
(2) 9(2a+3b)2-4(3a-2b)2
(3) (x2-2x)2+2(x2-2x)+1;
人气:489 ℃ 时间:2019-09-11 12:06:11
解答
(1)-36x2+12xy-y2
=-(36x2-12xy+y2),
=-(6x-y)2
(2) 9(2a+3b)2-4(3a-2b)2
=[3(2a+3b)+2(3a-2b)][3(2a+3b)-2(3a-2b)],
=(6a+9b+6a-4b)(6a+9b-6a+4b),
=13b(12a+5b);
(3)(x2-2x)2+2(x2-2x)+1,
=(x2-2x+1)2
=[(x-1)2]2
=(x-1)4
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