问题
解答题
分解因式:
(1)2m2-16m+32
(2)(a-b)2-4(a+b)2.
答案
(1)2m2-16m+32,
=2(m2-8m+16),
=2(m-4)2;
(2)(a-b)2-4(a+b)2,
=[(a-b)+2(a+b)][(a-b)-2(a+b)],
=(a-b+2a+2b)(a-b-2a-2b),
=(3a+b)(-a-3b).
分解因式:
(1)2m2-16m+32
(2)(a-b)2-4(a+b)2.
(1)2m2-16m+32,
=2(m2-8m+16),
=2(m-4)2;
(2)(a-b)2-4(a+b)2,
=[(a-b)+2(a+b)][(a-b)-2(a+b)],
=(a-b+2a+2b)(a-b-2a-2b),
=(3a+b)(-a-3b).