Bạn chú ý trong tích A có chứa thừa số \(1-\frac{2016}{2016}=1-1=0\)

Vì tích có 1 thừa số bằng 0 nên cả tích sẽ bằng 0

Vậy A=0

Bạn ghi rõ ra đc ko?

(ví dụ: 2x3+5=6+5=11)

a) \(\frac{x+1}{5}+\frac{x+1}{6}+\frac{x+1}{7}=\frac{x+1}{8}+\frac{x+1}{9}\)

\(\Leftrightarrow\frac{x+1}{5}+\frac{x+1}{6}+\frac{x+1}{7}-\frac{x+1}{8}-\frac{x+1}{9}=0\)

\(\Leftrightarrow\left(x+1\right).\left(\frac{1}{5}+\frac{1}{6}+\frac{1}{7}-\frac{1}{8}-\frac{1}{9}\right)=0\)

\(\Leftrightarrow x+1=0\)

\(\Leftrightarrow x=0-1\)

\(\Rightarrow x=-1\)

Vậy \(x=-1.\)

Mình chỉ làm câu a) thôi nhé.

Chúc bạn học tốt!

Lê Thị Thục HiềnTrần Thanh PhươngVũ Minh Tuấn?Amanda?Nguyễn Việt LâmHISINOMA KINIMADONguyễn Huy TúAkai Haruma

Hình như đề bạn ghi sai rồi, nó ko theo thứ tự để tính nhanh

thế thì hợp lý nha bn

Ta có: \(1\times\frac{1}{15}\times1\frac{1}{16}\times1\frac{1}{17}\times......\times1\frac{1}{2016}\times1\frac{1}{2017}\)

     \(=\frac{1}{15}\times\frac{17}{16}\times\frac{18}{17}\times......\times\frac{2017}{2016}\times\frac{2018}{2017}\)

     \(=\frac{1}{15}\times\frac{2018}{16}\)

     \(=\frac{1009}{8\times15}\)

     \(=\frac{1009}{120}\)

Mình nghĩ đề bài của bạn bị nhầm ở chỗ  \(1\frac{1}{15}\)thành \(1\times\frac{1}{15}\)

Nhưng không sao bạn ạ

Vẫn giải được

\(1\frac{1}{15}\times1\frac{1}{16}\times.....\times1\frac{1}{2017}\)(lỗi đề sao bạn)

\(=\frac{16}{15}\times\frac{17}{16}\times.....\times\frac{2018}{2017}\)

\(=\frac{16\times17\times.....\times2018}{15\times16\times.....\times2017}\)

\(=\frac{2018}{15}\)

bạn có thể vào câu hổi tương tự hoặc sear google

ahjhj =.="

\(1\frac{1}{15}\cdot1\frac{1}{16}\cdot1\frac{1}{17}\cdot...\cdot1\frac{1}{2016}\cdot1\frac{1}{2017}\)

\(=\frac{16^{\left(1\right)}}{15}\cdot\frac{17^{\left(1\right)}}{16^{\left(1\right)}}\cdot\frac{18^{\left(1\right)}}{17^{\left(1\right)}}\cdot...\cdot\frac{2017^{\left(1\right)}}{2016^{\left(1\right)}}\cdot\frac{2018}{2017^{\left(1\right)}}\)

\(=\frac{1}{15}\cdot2018\)

\(=\frac{2018}{15}=134\frac{8}{15}\)

Bai3

201620162016/201720172017=2016.100010001/2017.100010002=2016/2017

Vay 201620162016/201720172017=2016/2017

bài 1 kobik

bài 2\(\frac{1}{39600}\):\(\frac{1}{4}\)=\(\frac{2}{33}\)

bài 3\(\frac{201620162016}{201720172017}=\frac{2016}{2017}\)

nên mó bằng nhau

giúp mình với

 P \(=\left(1-\frac{1}{2^2}\right).\left(1-\frac{1}{3^2}\right).\left(1-\frac{1}{4^2}\right)...\left(1-\frac{1}{50^2}\right)\) 

P\(=\frac{2^2-1}{2^2}.\frac{3^2-1}{3^2}.\frac{4^2-1}{4^2}...\frac{50^2-1}{50^2}\)

P \(=\frac{1.3}{2.2}.\frac{2.4}{3.3}.\frac{3.5}{4.4}...\frac{49.51}{50.50}\)

P\(=\frac{\left(1.2.3...49\right).\left(3.4.5...51\right)}{\left(2.3.4...50\right).\left(2.3.4...50\right)}\)

P\(=\frac{1.51}{50.2}=\frac{51}{100}\)

\(A=\frac{8}{9}\cdot\frac{15}{16}\cdot\frac{24}{25}\cdot...\cdot\frac{360}{361}\cdot\frac{399}{400}\)

\(A=\frac{2\cdot4\cdot3\cdot5\cdot4\cdot6\cdot...\cdot18\cdot20\cdot19\cdot21}{3\cdot3\cdot4\cdot4\cdot5\cdot5\cdot...\cdot19\cdot19\cdot20\cdot20}\)

\(A=\frac{2\cdot21}{3\cdot20}\)

\(A=\frac{7}{10}\)

\(B=\frac{9}{8}\cdot\frac{16}{15}\cdot\frac{25}{24}\cdot...\cdot\frac{441}{440}\cdot\frac{484}{483}\)

\(B=\frac{3\cdot3\cdot4\cdot4\cdot5\cdot5\cdot...\cdot21\cdot21\cdot22\cdot22}{2\cdot4\cdot3\cdot5\cdot4\cdot6\cdot...\cdot20\cdot22\cdot21\cdot23}\)

\(B=\frac{3\cdot22}{2\cdot23}=\frac{33}{23}\)

\(C=\frac{17}{23}.\left(\frac{7}{61}+\frac{28}{61}+\frac{26}{61}\right)\)

\(C=\frac{17}{23}\cdot1=\frac{17}{23}\)

\(\frac{1}{1}.\frac{1}{2}+\frac{1}{2}.\frac{1}{3}+\frac{1}{3}.\frac{1}{4}+\frac{1}{4}.\frac{1}{5}+\frac{1}{5}.\frac{1}{6}=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}\)

\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}\)

\(=1-\frac{1}{6}=\frac{5}{6}\)

\(\frac{1}{1}.\frac{1}{2}+\frac{1}{2}.\frac{1}{3}+\frac{1}{3}.\frac{3}{4}+\frac{1}{4}.\frac{1}{5}+\frac{1}{5}.\frac{1}{6}\)

\(=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}\)

\(=\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}\)

\(=\frac{1}{1}-\frac{1}{6}\)

\(=\frac{5}{6}\)

\(=\frac{1}{1.2}+\frac{1}{2.3}+........+\frac{1}{5.6}\)

\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...........+\frac{1}{5}-\frac{1}{6}\)

\(=1-\frac{1}{6}\)

\(=\frac{5}{6}\)