已知x+1/x=3,求x³+x-³的值

问题描述:

已知x+1/x=3,求x³+x-³的值

答:
x+1/x=3
x³+1/x³
=(x+1/x)(x²-1+1/x²)
=3[(x+1/x)²-3]
=3*(3²-3)
=3*6
=18