2017最新款行车记录仪:(x+1)^4+(x+3)^4-272

来源:百度文库 编辑:中科新闻网 时间:2024/05/13 11:51:38
因式分解

(x+1)^4+(x+3)^4-272
=(x+3)^4-4^4+(x+1)^4-2^4
(平方差)
=[(x+3)^2-4^2][(x+3)^2+4^2]+[(x+1)^2-2^2][(x+1)^2+2^2]
(平方差)
=(x-1)(x+7)[(x+3)^2+4^2]+(x-1)(x+3)[(x+1)^2+2^2]
(提取公因式,再整理)
=2(x-1)(x^2+4x+19)(5+x)

2(x-1)(x^2+4x+19)(5+x)

原式=2(x^2+4x+19)(x-1)(5+x)