来源:学生作业帮 编辑:搜狗做题网作业帮 分类:数学作业 时间:2024/07/03 15:29:10
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.
(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.