(n+1)^3=n^3+3n^2+3n+1是怎样推出的,请给个过程
问题描述:
(n+1)^3=n^3+3n^2+3n+1是怎样推出的,请给个过程
答
可以用乘法法则运算得出.(n+1)^3=(n+1)(n+1)^2=(n+1)(n^2+2n+1)=n^3+2n^2+n+n^2+2n+1=n^3+3n^2+3n+1
(n+1)^3=n^3+3n^2+3n+1是怎样推出的,请给个过程
可以用乘法法则运算得出.(n+1)^3=(n+1)(n+1)^2=(n+1)(n^2+2n+1)=n^3+2n^2+n+n^2+2n+1=n^3+3n^2+3n+1