分解因式: (1)a2-4ab+4b2 (2)4+12(x-y)+9(x-y)2 (3)16x4-1 (4)(2a-b)2+8ab.
问题描述:
分解因式:
(1)a2-4ab+4b2
(2)4+12(x-y)+9(x-y)2
(3)16x4-1
(4)(2a-b)2+8ab.
答
(1)a2-4ab+4b2=a2-2•a•2b+(2b)2=(a-2b)2;(2)4+12(x-y)+9(x-y)2=22+2×2×3(x-y)+[3(x-y)]2=[2+3(x-y)]2=(2+3x-3y)2;(3)16x4-1=(4x2)2-1=(4x2+1)(4x2-1)=(4x2+1)(2x+1)(2x-1)...