因式分解x^4+81,x^2+81

来源:学生作业帮助网 编辑:六六作业网 时间:2024/10/04 02:22:31
因式分解x^4+81,x^2+81因式分解x^4+81,x^2+81因式分解x^4+81,x^2+81x^4+81=x^4+18x^2+81-18x^2=(x^2+9)^2-18x^2=(x^2+9-

因式分解x^4+81,x^2+81
因式分解x^4+81,x^2+81

因式分解x^4+81,x^2+81
x^4+81
=x^4+18x^2+81-18x^2
=(x^2+9)^2-18x^2
=(x^2+9-3√2x)(x^2+9+3√2x)
x^2+81
=x^2+18x+81-18x
=(x+9)^2-18x
=[x+9-3√(2x)][x+9+3√(2x)](x>0)
=[x+9-3i√(-2x)][x+9+3i√(-2x)](x