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分解因式(1)x(x-y)-y(y-x);      &nb

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分解因式
(1)x(x-y)-y(y-x);            
(2)3a2-12b2
(3)m2(a-1)-2m(a-1)+(a-1);
(4)(a-b)2+4ab.
分解因式(1)x(x-y)-y(y-x);      &nb
(1)x(x-y)-y(y-x)
=(x-y)(x+y);
         
(2)3a2-12b2
=3(a2-4b2
=3(a+2b)(a-2b);
(3)m2(a-1)-2m(a-1)+(a-1)
=(a-1)(m2-2m+1)
=(a-1)(m-1)2
(4)(a-b)2+4ab
=a2-2ab+b2+4ab
=(a+b)2