Question

数学题:1的三次方+2的三次方+…+100的三次方等于多少

Answer 1

1^3+2^3=1+8=9=(1+2)^2 [^3指三次方，^2指平方]^3+2^3+3^3=1+8+27=36=(1+2+3)^2于是1^3+2^3+3^3+……+100^3=(1+2+3+……+100)^2=[(1+100)*100/2]^2=(5050)^2=25502500