把下列各式因式分解:(1)-36x2+12xy-y2;(2) 9(2a+3b)2-4(3a-2b)2;(3) (x2-2
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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;
(1)-36x2+12xy-y2;
(2) 9(2a+3b)2-4(3a-2b)2;
(3) (x2-2x)2+2(x2-2x)+1;
(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.
=-(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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