因式分解:(X+2)(X+4)(X+6)(X+8)+16
问题描述:
因式分解:(X+2)(X+4)(X+6)(X+8)+16
答
(x+2)(x+4)(x+6)(x+8)+16
=[(x+2)(x+8)[[(x+4)(x+6)]+16
=(x^2+10x+16)(x^2+10x+24)+16
=(x^2+10x)^2+40(x^2+4x)+400
=(x^2+10x+20)^2