\(1^3+2^3+3^3+...+99^3+100^3\)
\(=\left(1-1\right)1\left(1+1\right)+1+\left(2-1\right)2\left(2+1\right)+2+...+\left(99-1\right)99\left(99+1\right)+99+\left(100-1\right)100\left(100+1\right)+100\)
\(=1+2+1.2.3+3+2.3.4+...+100+99.100.101\)
\(=\left(1+2+3+...+100\right)+\left(1.2.3+2.3.4+...+99.100.101\right)\)\(=5050+25497450\)
\(=25502500\)
Tham khảo, chúc bạn học tốt!