(x^2 + 4x)(x^2 + 4x+8)+16

问题描述:

(x^2 + 4x)(x^2 + 4x+8)+16

原式=(x^2 + 4x)^2+8(x^2 + 4x)+16
=(x^2 + 4x+4)^2
=(x + 2)^4

(x^2 + 4x)(x^2 + 4x+8)+16
=(x^2 + 4x)^2+8(x^2 + 4x)+16
=[(x^2 + 4x)+4]^2
=[(x+2)^2]^2
=(x+2)^4

(x^2 + 4x)(x^2 + 4x+8)+16
=(x^2 + 4x)^2+8(x^2 + 4x)+16
= (x^2 + 4x+4)^2
=(x+2)^4

(x+2)^4