x^4+16因式分解

来源:学生作业学帮网 编辑:学帮网 时间:2024/05/30 03:19:12

x^4+16因式分解

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

x^4+16
=x^4+16+4x²-4x²
=(x²+4)²-4x²
=(x²+2x+4)(x²-2x+4)