问题
解答题
分解因式
(1)(x+2y)2-x2-2xy
(2)(a-b)2(m+n)-(-m-n)(b-a)
答案
(1)(x+2y)2-x2-2xy
=(x+2y)2-x(x+2y)
=2y(x+2y);
(2)(a-b)2(m+n)-(-m-n)(b-a)
=(a-b)2(m+n)-(m+n)(a-b)
=(a-b)(m+n)(a-b-1)
分解因式
(1)(x+2y)2-x2-2xy
(2)(a-b)2(m+n)-(-m-n)(b-a)
(1)(x+2y)2-x2-2xy
=(x+2y)2-x(x+2y)
=2y(x+2y);
(2)(a-b)2(m+n)-(-m-n)(b-a)
=(a-b)2(m+n)-(m+n)(a-b)
=(a-b)(m+n)(a-b-1)