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16 tháng 9 2017

\(\dfrac{1}{x^2+x+1}-\dfrac{1}{x-x^2}-\dfrac{x^2+2x}{x^3-1}\)

\(=\dfrac{\left(x-1\right)x}{x\left(x-1\right)\left(x^2+x+1\right)}+\dfrac{x^2+x+1}{x\left(x-1\right)\left(x^2+x+1\right)}-\dfrac{\left(x^2+2x\right)x}{x\left(x-1\right)\left(x^2+x+1\right)}\)

\(=\dfrac{x^2-x+x^2+x+1-x^3-2x^2}{x\left(x-1\right)\left(x^2+x+1\right)}\)

\(=\dfrac{1-x^3}{x\left(x-1\right)\left(x^2+x+1\right)}\)

\(=\dfrac{-\left(x^3-1\right)}{x\left(x^3-1\right)}=\dfrac{-1}{x}\)

12 tháng 2 2018

\(=\left(\frac{75}{100}+\frac{65}{100}+\frac{1}{4}+\frac{35}{100}\right)\left(\frac{1}{4}.2+\frac{25}{100}.3+\frac{25}{100}.5\right)\)

\(=\left(\frac{3}{4}+\frac{13}{20}+\frac{1}{4}+\frac{7}{20}\right)\left(\frac{2}{4}+\frac{3}{4}+\frac{5}{4}\right)\)

\(=\left(1+1\right).\frac{10}{4}\)

\(=2.\frac{5}{2}\)

\(=5\)

3 tháng 3 2023

\(\dfrac{45}{135}=\dfrac{45:45}{135:45}=\dfrac{1}{3}\)

\(\dfrac{117}{234}=\dfrac{117:117}{234:117}=\dfrac{1}{2}\)

\(\dfrac{1515}{2727}=\dfrac{1515:303}{2727:303}=\dfrac{5}{9}\)

\(\dfrac{232323}{494949}=\dfrac{232323:10101}{494949:10101}=\dfrac{23}{49}\)

\(\left(x-\dfrac{1}{3}\right)+\dfrac{1}{4}=\dfrac{1}{2}\)

\(x-\dfrac{1}{3}=\dfrac{1}{2}-\dfrac{1}{4}\)

\(x-\dfrac{1}{3}=\dfrac{2}{4}-\dfrac{1}{4}\)

\(x-\dfrac{1}{3}=\dfrac{1}{4}\)

\(x=\dfrac{1}{4}+\dfrac{1}{3}\)

\(x=\dfrac{3}{12}+\dfrac{4}{12}\)

\(x=\dfrac{7}{12}\)

\(x-\left(\dfrac{1}{7}+\dfrac{2}{5}\right)=\dfrac{16}{35}\)

\(x-\left(\dfrac{5}{35}+\dfrac{14}{35}\right)=\dfrac{16}{35}\)

\(x-\dfrac{19}{35}=\dfrac{16}{35}\)

\(x=\dfrac{16}{35}+\dfrac{19}{35}\)

\(x=\dfrac{35}{35}\)

\(x=1\)

\(x+\dfrac{3}{7}=\dfrac{2}{5}+\dfrac{3}{10}\)

\(x+\dfrac{3}{7}=\dfrac{4}{10}+\dfrac{3}{10}\)

\(x+\dfrac{3}{7}=\dfrac{7}{10}\)

\(x=\dfrac{7}{10}-\dfrac{3}{7}\)

\(x=\dfrac{49}{70}-\dfrac{30}{70}\)

\(x=\dfrac{19}{30}\)

 

3 tháng 3 2023

aaa=))) mik nhầm nha bn sửa 19/30 thành 19/70 nha:v

5 tháng 1 2022

ế nằm mơ

2 tháng 7 2020

Nhân x+1 vs x+4

x+2 vs x+3