问题
解答题
分解下列因式:
(1)(x+y)2-4x2;
(2)3m2n-12mn+12n.
答案
(1)(x+y)2-4x2,
=(x+y)2-(2x)2,
=[(x+y)+2x][(x+y)-2x],
=-(3x+y)(x-y);
(2)3m2n-12mn+12n,
=3n(m2-4m+4),
=3n(m-2)2.
分解下列因式:
(1)(x+y)2-4x2;
(2)3m2n-12mn+12n.
(1)(x+y)2-4x2,
=(x+y)2-(2x)2,
=[(x+y)+2x][(x+y)-2x],
=-(3x+y)(x-y);
(2)3m2n-12mn+12n,
=3n(m2-4m+4),
=3n(m-2)2.