问题:

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.

更新时间:2024-04-20 09:31:00

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.

邓华林回答:

  (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)...