\(B=2+2^2+2^3+2^4+...+2^{99}+2^{100}=2\left(1+2^2+2^3+2^4\right)+...+2^{96}\left(1+2^2+2^3+2^4\right)=2.31+2^6.31+...+2^{96}.31=31\left(2+2^6+...+2^{96}\right)⋮31\)

B=2+22+23+24+...+299+2100=2(1+22+23+24)+...+296(1+22+23+24)=2.31+26.31+...+296.31=31(2+26+...+296)⋮31

Lời giải:

$A=16-18+20-22+24-26+...+64-66+68$

$=\underbrace{(16+20+24+...+64+68)}_{M}-\underbrace{(18+22+26+...+66)}_{N}$

M có số số hạng là:

$(68-16):4+1=14$

Giá trị $M$ là: $(68+16)\times 14:2=588$

N có số số hạng là:

$(66-18):4+1=13$

Giá trị N là: $(66+18)\times 13:2=546$

$A=M-N=588-546=42$

Bài 2: 

Ta có: \(3n^3+10n^2-5⋮3n+1\)

\(\Leftrightarrow3n^3+n^2+9n^2+3n-3n-1-4⋮3n+1\)

\(\Leftrightarrow3n+1\in\left\{1;-1;2;-2;4;-4\right\}\)

\(\Leftrightarrow3n\in\left\{0;-3;3\right\}\)

hay \(n\in\left\{0;-1;1\right\}\)

b: \(N=a^3-3a^2-a\left(3-a\right)\)

\(=a^2\left(a-3\right)+a\left(a-3\right)\)

\(=a\left(a-3\right)\left(a+1\right)\)

a) M = x² (x + y) - x²y - x³ tại x = - 2017 và y = 2017

 M=  \(x^3+x^2y-x^2y-x^3\)

M = 0

b) N = a³ - 3a² - a(3 - a)

 N  = \(a^3-3a^2-3a+a^2\)

   N =\(a^3-2a^2-3a\)

Bài 4:

ĐKXĐ: \(x\ge3\)

Ta có: \(\sqrt{x^2-9}-\sqrt{x-3}=0\)

\(\Leftrightarrow\sqrt{x-3}\left(\sqrt{x+3}-1\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}x-3=0\\x+3=1\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=3\left(nhận\right)\\x=-2\left(loại\right)\end{matrix}\right.\)

Trang bao nhiêu vậy

Mình mới học lớp 6 thui

gửi lên để a giúp đỡ

`@` `\text {Ans}`

`\downarrow`

khuyến cáo ko nên gạt xuống.

Đồ ngu đồ ăn hại cút mịa mài đê :D

On the fifth day of the first month of every year, the Go Dong Da festival begins to take place. The festival was held in Go Dong Da. Everyone went to see the crowd, everyone wanted to see the Quang Trung monument. The association started with a memorial activity in memory of the cloth-shirt hero Quang Trung Nguyen Hue. The association had games such as: playing chess, swinging, and fighting cock ... When the festival ended, I still felt regretful and remembered the hero of cloth shirt Nguyen Hue. I will study well to serve the country. Dong Da Go Association has left a deep impression on her.

6)  \(\dfrac{8^6}{256}=\dfrac{\left(2^3\right)^6}{2^8}=\dfrac{2^{18}}{2^8}=2^{10}=1024\)

7) \(\left(\dfrac{1}{2}\right)^{15}.\left(\dfrac{1}{4}\right)^{20}=\left(\dfrac{1}{2}\right)^{15}.\left[\left(\dfrac{1}{2}\right)^2\right]^{20}=\left(\dfrac{1}{2}\right)^{15}.\left(\dfrac{1}{2}\right)^{40}=\left(\dfrac{1}{2}\right)^{55}=\dfrac{1}{2^{55}}\)

8)  \(\left(\dfrac{1}{9}\right)^{25}\div\left(\dfrac{1}{3}\right)^{30}=\left(\dfrac{1}{3}\right)^{50}\div\left(\dfrac{1}{3}\right)^{30}=\left(\dfrac{1}{3}\right)^{20}=\dfrac{1}{3^{20}}\)

9)\(\left(\dfrac{1}{16}\right)^3\div\left(\dfrac{1}{8}\right)^2=\left(\dfrac{1}{2}\right)^{12}\div\left(\dfrac{1}{2}\right)^6=\left(\dfrac{1}{2}\right)^6=\dfrac{1}{64}\)

10)  \(\dfrac{27^2.8^5}{6^2.32^3}=\dfrac{3^6.2^{15}}{3^2.2^2.2^{15}}=\dfrac{3^4}{2^2}=\dfrac{81}{4}\)