1^3=1^2=1
1^3+2^3=(1+2)^2=3^2=9
1^3+2^3+3^3=(3+3)^2=6^2=36
1^3+2^3+3^3+4^3=(6+4)^2=10^2=100
1^3+2^3+3^3+4^3+5^3=(10+5)^2=15^2=225
1^3+2^3+3^3+4^3+5^3+6^3=(15+6)^2=21^2=441
1^3+2^3+3^3+4^3+5^3+6^3+7^3=(21+7)^2=28^2=784
1^3+2^3+3^3+4^3+5^3+6^3+7^3+8^3=(28+8)^2=36^2=1296
1^3+2^3+3^3+4^3+5^3+6^3+7^3+8^3+9^3=(36+9)^2=45^2=2025
1^3+2^3+3^3+4^3+5^3+6^3+7^3+8^3+9^3+10^3=(45+10)^2=55^2=3025
1^3+2^3+3^3+……+n^3=(n*(n+1)/2)^2