\(41^3=\left(40+1\right)^3=40^3+3.40^2.1+3.40.1^2+1^3\)
\(=64000+4800+120+1=68921\)
\(\left(201\right)^3=\left(200+1\right)^3=200^3+3.200^2.1+3.200.1^2+1^3\)
\(=8000000+120000+600+1=8120601\)
\(41^3=\left(40+1\right)^3\\ =40^3+1^3+3\cdot40\cdot1\cdot\left(40+1\right)\\ =64000+1+120\cdot41\\ =64001+4920\\ =68921\)
\(201^3=\left(200+1\right)^3\\ =200^3+1^3+3\cdot200\cdot1\cdot\left(200+1\right)\\ =8000000+1+600\cdot201\\ =8000001+120600\\ =8120601\)
\(41^3=41.41.41=68921\)
\(201^3=201.201.201=8120601\)
Của tui nhanh nè
413 = (40 + 1)3 = 403 + 3 . 402 . 1 + 3 . 40 . 12 + 13
= 64000 + 4800 + 120 + 1
= 68921
2013 = (200 + 1)3 = 2003 + 3 . 2002 . 1 + 3 . 200 . 12 + 13
= 8000000 + 120000 + 600 + 1
= 8120601
