\(2\times3\times5+25\times8\times4+70+4\times2\times25\)

\(=15\times2+100\times8+70+100\times2\)

\(=30+800+70+200\)

\(=\left(30+70\right)+\left(800+200\right)\)

\(=100+100\times10\)

\(=100+1000\)

\(=1100\)

chị mua sách giải về tham khảo nha!

chúc chị hok tốt!

\(A=x^5-70x^4-70x^3-70x^2-70x+34\)

\(\Rightarrow A=x^5-\left(x-1\right)x^4-\left(x-1\right)x^3-\left(x-1\right)x^2-\left(x-1\right)x+34\)

\(A=x^5-x^5+x^4-x^4+x^3-x^3+x^2-x^2+x+34\)

\(A=71+34\)

\(A=105\)

Bài 2 

a: =>x=-23-7=-30

b: =>75:x=15

hay x=5

c: =>2(x+4)=80

=>x+4=40

hay x=36

d: \(\Leftrightarrow2^x\cdot11=88\)

hay x=3

Bài 3: 

Có thể chia được nhiều nhất 12 tổ vì UCLN(180;132)=12

Khi đó, mỗi tổ có 15 nam và 11 nữ

x^5 - (x-1)x^4 -(x-1)x^3 - (x-1)x^2 - (x-1)x + 34
= x^5 - x^5 + x^4 - x^4 + x^3 - x^3 + x^2 - x^2 + x + 34 
= 71 + 34 = 105

\(C=\frac{5}{1.3}+\frac{5}{3.5}+\frac{5}{5.7}+...+\frac{5}{997.999}\)

\(\Leftrightarrow C=\frac{5}{2}\left(\frac{2}{1.3}+\frac{2}{3.5}+\frac{2}{5.7}+...+\frac{2}{997.999}\right)\)

\(\Leftrightarrow C=\frac{5}{2}\left(\frac{1}{1}-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{997}-\frac{1}{999}\right)\)

\(\Leftrightarrow C=\frac{5}{2}\left(1-\frac{1}{999}\right)=\frac{5}{2}.\frac{998}{999}=\frac{2495}{999}=2\frac{497}{999}\)

\(A=\frac{2}{4}+\frac{2}{28}+\frac{2}{70}+\frac{2}{130}+\frac{2}{208}\)

\(\Leftrightarrow A=\frac{2}{1.4}+\frac{2}{4.7}+\frac{2}{7.10}+\frac{2}{10.13}+\frac{2}{13.16}\)

\(\Leftrightarrow A=\frac{2}{3}\left(\frac{3}{1.4}+\frac{3}{4.7}+\frac{3}{7.10}+\frac{3}{10.13}+\frac{3}{13.16}\right)\)

\(\Leftrightarrow A=\frac{2}{3}\left(\frac{1}{1}-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+\frac{1}{7}-\frac{1}{10}+\frac{1}{10}-\frac{1}{13}+\frac{1}{13}-\frac{1}{16}\right)\)

\(\Leftrightarrow A=\frac{2}{3}\left(1-\frac{1}{16}\right)=\frac{2}{3}.\frac{15}{16}=\frac{5}{8}\)

C = 5/1x3 + 5/3x5 + 5/5x7 + ... + 5/997x999

C = 5 - 5/3 + 5/3 - 5/5 + 5/5 - 5/7 + ... + 5/997 - 5/999

C = 5 - 5/999

C = bạn tự tính nhé !

A = 2/4 + 2/28 + 2/70 + 2/130 + 2/208

A = 2/1x4 + 2/4x7 + 2/7x10 + 2/10x13 + 2/13x16

A = 2 - 2/4 + 2/4 - 2/7 + 2/7 - 2/10 + 2/10 - 2/13 + 2/13 - 2/16

A = 2 - 2/16

A = bạn tự tính nhé !

\(\frac{2C}{5}=\frac{2}{1.3}+\frac{2}{3.5}+\frac{2}{5.7}+..+\frac{2}{97.99}\)

\(\frac{2C}{5}=\frac{3-1}{1.3}+\frac{5-3}{3.5}+\frac{7-5}{5.7}+...+\frac{99-97}{97.99}\)

\(\frac{2C}{5}=1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{97}-\frac{1}{99}\)

\(\frac{2C}{5}=1-\frac{1}{99}=\frac{98}{99}\Rightarrow C=\frac{98.5}{99.2}=\frac{245}{99}\)

\(\frac{3A}{2}=\frac{3}{1.4}+\frac{3}{4.7}+\frac{3}{7.10}+\frac{3}{10.13}+\frac{3}{13.16}\)

\(\frac{3A}{2}=\frac{4-1}{1.4}+\frac{7-4}{4.7}+\frac{10-7}{7.10}+\frac{13-10}{10.13}+\frac{16-13}{13.16}\)

\(\frac{3A}{2}=1-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+\frac{1}{7}-\frac{1}{10}+\frac{1}{10}-\frac{1}{13}+\frac{1}{13}-\frac{1}{16}\)

\(\frac{3A}{2}=1-\frac{1}{16}=\frac{15}{16}\Rightarrow A=\frac{15.2}{16.3}=\frac{5}{8}\)

A=36 x 350 + 1,2 x 20 x 3 + 9 x 4 x 4,5

= 12600  + 72 + 162

= 12834