ai nhanh mình tck nha
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![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(y-1,57=6,28-2,68\)
\(y-1,57=3,6\)
\(y=3,6+1,57\)
\(y=5,17\)
y- 1,57 = 6,28 - 2,68
y -1,57 = 3,6
y = 3,6 + 1,57
y = 5,17
![](https://rs.olm.vn/images/avt/0.png?1311)
87 - 218 = (23)7 - 218
= 221 - 218
= 217.(24 - 2)
= 217.14 chia hết cho 14 (đpcm)
![](https://rs.olm.vn/images/avt/0.png?1311)
25 . 5 . 4 . 27 . 2 = ( 25 . 4 ) . ( 5 . 2 ) . 27
= 100 . 10 . 27
= 1000 . 27
= 27000
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
So bi chia 7,5 da bi giam di la :
7,5 - 5,7 = 1,8 ( d/v )
So chia la : 1,8 : 0,75 = 2,4
Thuong dung la :
7,5 : 2,4 = 3,125
Dap so : 3,125.
Nho k minh nha!
![](https://rs.olm.vn/images/avt/0.png?1311)
A=\(\frac{1}{15}+\frac{1}{35}+\frac{1}{63}+..+\frac{1}{9999}\)
\(=\frac{1}{3.5}+\frac{1}{5.7}+\frac{1}{7.9}+..+\frac{1}{99.101}\)
\(=\frac{1}{2}.\left(\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+..+\frac{1}{99}-\frac{1}{101}\right)\)
\(=\frac{1}{2}.\left(\frac{1}{3}-\frac{1}{101}\right)\)
\(=\frac{1}{2}.\frac{98}{303}=\frac{49}{303}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{7}{4}.x-\frac{3}{2}=\frac{1}{2}x-3\)
\(\Rightarrow\frac{7}{4}x-\frac{1}{2}x=\frac{3}{2}-3\)
\(\Rightarrow\frac{5}{4}x=-\frac{3}{2}\)
\(\Rightarrow x=-\frac{3}{2}.\frac{4}{5}=-\frac{6}{5}\)
7x/4-3/2=x/2-3
=> 7x/4-6/4=x/2-6/2
=>7x-6/4=x-6/2
=>(7x-6)*2=(x-6)*4
=>14x-12=4x-24
=>10x=-24+12
=>10x=-12=>x=-6/5
Vậy x=-6/5
![](https://rs.olm.vn/images/avt/0.png?1311)
p2018+2018=p4036
=> p4036=p.p.p.p.....p ( 4036 thừa số p )
Mà p chia hết cho p và 1 nên nhiều thừa số p sẽ làm cho p 4036 chia hết cho nhiều số khác .
Vậy p2018+2018 là hợp số .
![](https://rs.olm.vn/images/avt/0.png?1311)
Sửa đề : \(T=\left[1-\frac{1}{4}\right]\times\left[1-\frac{1}{9}\right]\times\left[1-\frac{1}{16}\right]\times...\times\left[1-\frac{1}{576}\right]\times\left[1-\frac{1}{625}\right]\)
\(T=\frac{3}{4}\cdot\frac{8}{9}\cdot\frac{15}{16}\cdot...\cdot\frac{575}{576}\cdot\frac{624}{625}\)
\(T=\frac{1\cdot3}{2\cdot2}\cdot\frac{2\cdot4}{3\cdot3}\cdot\frac{3\cdot5}{4\cdot4}\cdot...\cdot\frac{23\cdot25}{24\cdot24}\cdot\frac{24\cdot26}{25\cdot25}\)
\(T=\frac{1\cdot2\cdot3\cdot....\cdot23\cdot24}{2\cdot3\cdot4\cdot....\cdot24\cdot25}\cdot\frac{3\cdot4\cdot5\cdot...\cdot25\cdot26}{2\cdot3\cdot4\cdot...\cdot24\cdot25}\)
Đến đây dễ rồi nhé bạn :v
\(T=\left(1-\frac{1}{4}\right)\times\left(1-\frac{1}{9}\right)\times\left(1-\frac{1}{16}\right)\times...\times\left(1-\frac{1}{157}\right)\times\left(1-\frac{1}{625}\right)\)
\(T=\frac{3}{4}\times\frac{8}{9}\times\frac{15}{16}\times...\times\frac{156}{157}\times\frac{624}{625}\)
\(T=\frac{3\times2\times4\times3\times5\times...\times23\times25\times24\times26}{2\times2\times3\times3\times4\times4\times...\times24\times24\times25\times25}\)
\(T=\frac{1\times26}{2\times25}=\frac{26}{50}=\frac{13}{25}\)