professor's name ThAnH
Giới thiệu về bản thân
ta có: \(8^{10}-8^9-8^8=8^8\left(8^2-8-1\right)\)
\(=8^8\cdot55\)
vậy \(\left(8^{10}-8^9-8^8\right)\) chia hết cho 55
(321 + 56) x 2 = 377 x 2 = 754
ta có: \(x\left(2x-\frac{4}{11}\right)=0\)
\(\Rightarrow\left[\begin{array}{l}x=0\\ 2x-\frac{4}{11}=0\end{array}\right.\)
\(\Rightarrow\left[\begin{array}{l}x=0\\ 2x=\frac{4}{11}\end{array}\right.\)
\(\Rightarrow\left[\begin{array}{l}x=0\\ x=\frac{4}{11}:2\end{array}\right.\)
\(\Rightarrow\left[\begin{array}{l}x=0\\ x=\frac{2}{11}\end{array}\right.\)
chúc mừng bn!
ngta hỏi bạn Hải chứ đou hỏi bạn nam?
very difficult
hi
thì so coooool
1. What do you do?
2. Where does her father work?
3. Is she an accountant?
4. Where does John work?
5. Does he work in a company?
Ta có:
\(A=1\left(1+2\right)+2\left(2+2\right)+3\left(3+2\right)+\cdots+98\left(98+2\right)\)
\(A=\left(1\cdot1+1\cdot2\right)+\left(2\cdot2+2\cdot2\right)+\left(3\cdot3+3\cdot2\right)+\cdots+\left(98\cdot98+98\cdot2\right)\)
\(A=\left(1^2+2^2+3^2+\cdots+98^2\right)+2\left(1+2+3+\cdots+98\right)\)
Đặt \(B=1^2+2^2+3^2+\cdots+98^2\)
và \(C=1+2+3+\cdots+98\)
Ta có: \(B=1^2+2^2+3^2+\cdots+98^2\)
\(B=1\left(2-1\right)+2\left(3-1\right)+3\left(4-1\right)+\cdots+98\left(99-1\right)\)
\(B=\left(1\cdot2+2\cdot3+3\cdot4+\cdots+98\cdot99\right)-\left(1+2+3+\cdots+98\right)\)
\(\Rightarrow A=\left(1\cdot2+2\cdot3+3\cdot4+\cdots+98\cdot99\right)+\left(1+2+3+...+98\right)\)
Dặt \(D=1\cdot2+2\cdot3+3\cdot4+\cdots+98\cdot99\), tính tổng \(D\) :
\(D=1\cdot2+2\cdot3+3\cdot4+\cdots+98\cdot99\)
\(3D=1\cdot2\left(3-0\right)+2\cdot3\left(4-1\right)+3\cdot4\left(5-2\right)+\cdots+98\cdot99\left(100-97\right)\)
\(3D=\left(1\cdot2\cdot3-0\cdot1\cdot2\right)+\left(2\cdot3\cdot4-1\cdot2\cdot3\right)+\left(3\cdot4\cdot5-2\cdot3\cdot4\right)+\cdots+\left(98\cdot99\cdot100-97\cdot98\cdot99\right)\)
\(3D=98\cdot99\cdot100-0\cdot1\cdot2\)
\(3D=98\cdot99\cdot100\)
\(D=98\cdot33\cdot100\)
\(C=1+2+3+\cdots+98\)
\(C=\left(98+1\right)\cdot\frac{98}{2}\)
\(C=4851\)
Vậy \(A=D+C=98\cdot33\cdot100+4851=328251\)
Tích cho mik nha