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\(\left(\frac58-\frac37\right)-\left(\frac38-\frac27\right)\)
\(=\frac58-\frac37-\frac38+\frac27\)
\(=\left(\frac58-\frac38\right)-\left(\frac37-\frac27\right)\)
\(=\frac28-\frac17\)
\(=\frac14-\frac17\)
\(=\frac{7}{28}-\frac{4}{28}\)
\(=\frac{3}{28}\)

1. This river does not run through my home town.
2. My drawing class does not start at 8 a.m. every Sunday.
3. They do not enjoy collecting stamps.
4. I do not do judo every Tuesday.
5. My brother does not love making model cars.
1.This river doesn't run through my home town .
2.My drawing class doesn't start at 8 a.m every Sunday .
3.They don't enjoy collecting stamps .
4.I don't do judo every Tuesday .
5.My brother doesn't love making model cars .

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21A, 22B, 23D, 24D, 25C, 26B, 27D, 28D, 29A, 30C, 31B, 32D, 33A, 34D, 35A

\(\left(x-1\right)\left(x+1\right)\left(x+2\right)=\left(x^2-1\right)\left(x+2\right)=x^3+2x^2-x-2\)
(x – 1)(x + 1)(x + 2)
=\(\left(x^2+x-x-1\right)\left(x+2\right)\)
= \(\left(x^2-1\right)\left(x^2+2\right)\)
=\(x^2\left(x+2\right)-1\left(x+2\right)\)
=\(x^3+2x^2-x-2\)

\(\frac{7}{15}\) - \(\frac57\) + \(\frac{23}{15}\) + \(\frac57\) - \(\frac35\)
= (\(\frac{7}{15}\) + \(\frac{23}{15}\)) - (\(\frac57\) - \(\frac57\)) - \(\frac35\)
= 2 - 0 - \(\frac35\)
= 2 - \(\frac35\)
= \(\frac{10}{5}\) - \(\frac35\)
= \(\frac75\)

Ta có: \(\left|x-0,25\right|+\left|2x-1\right|+\left|x-2,5\right|=x-3\)
=>x-3>=0
=>x>=3
=>x-0,25>=2,75>0; 2x-1>=5>0; x-2,5>=0,5>0
Phương trình sẽ trở thành:
x-0,25+2x-1+x-2,5=x-3
=>4x-3,75=x-3
=>3x=-3+3,75=0,75
=>x=0,25(loại)
Vậy: Phương trình vô nghiệm
x−0,25∣+∣2x−1∣+∣x−2,5∣=x−3
=>x-3>=0
=>x>=3
=>x-0,25>=2,75>0; 2x-1>=5>0; x-2,5>=0,5>0
Phương trình sẽ trở thành:
x-0,25+2x-1+x-2,5=x-3
=>4x-3,75=x-3
=>3x=-3+3,75=0,75
=>x=0,25(loại)

a: Ta có: \(3x+\left(x-\frac{9}{20}\right)=-\frac{13}{40}\)
=>\(3x+x-\frac{9}{20}=-\frac{13}{40}\)
=>\(4x=-\frac{13}{40}+\frac{9}{20}=-\frac{13}{40}+\frac{18}{40}=\frac{5}{40}=\frac18\)
=>\(x=\frac18:4=\frac{1}{32}\)
b: \(x+\left(\frac14x-2,5\right)=-\frac{11}{20}\)
=>\(x+\frac14x-2,5=-\frac{11}{20}\)
=>\(1,25x=-0,55+2,5=1,95\)
=>\(x=\frac{1.95}{1.25}=\frac{195}{125}=\frac{39}{25}\)
c: \(\frac35x+\left(x+0,5\right)=-\frac{13}{15}\)
=>\(\frac35x+x+0,5=-\frac{13}{15}\)
=>\(\frac85x=-\frac{13}{15}-0,5=-\frac{26}{30}-\frac{15}{30}=-\frac{41}{30}\)
=>\(x=-\frac{41}{30}:\frac85=-\frac{41}{30}\cdot\frac58=\frac{-41}{6\cdot8}=-\frac{41}{48}\)
d: \(-\frac23x+\left(4x-\frac67\right)=\frac{9}{21}\)
=>\(-\frac23x+4x-\frac67=\frac37\)
=>\(\frac{10}{3}x=\frac37+\frac67=\frac97\)
=>\(x=\frac97:\frac{10}{3}=\frac97\cdot\frac{3}{10}=\frac{27}{70}\)
bài 11: câu a:
\(3x+\left(x-\frac{9}{20}\right)=-\frac{13}{40}\)
\(3x+x-\frac{9}{20}=-\frac{13}{40}\)
\(4x=-\frac{13}{40}+\frac{9}{20}\)
\(4x=-\frac{13}{40}+\frac{18}{40}\)
\(4x=\frac{5}{40}\)
\(4x=\frac18\)
\(x=\frac18:4=\frac18\cdot\frac14=\frac{1}{32}\)
b. \(x+\left(\frac14x-2,5\right)=-\frac{11}{20}\)
\(x+\frac14x-2,5=-\frac{11}{20}\)
\(\frac54x-2,5=-\frac{11}{20}\)
\(\frac54x=-\frac{11}{20}+2,5\)
\(\frac54x=\frac{39}{20}\)
\(x=\frac{39}{20}:\frac54=\frac{39}{20}\cdot\frac45=\frac{39}{25}\)
c. \(\frac35x+\left(x+0,5\right)=-\frac{13}{15}\)
\(\frac35x+x+0,5=-\frac{13}{15}\)
\(\frac85x+\frac12=-\frac{13}{15}\)
\(\frac85x=-\frac{13}{15}-\frac12\)
\(\frac85x=-\frac{41}{30}\)
\(x=-\frac{41}{30}:\frac85=-\frac{41}{30}\cdot\frac58=-\frac{41}{48}\)
\(d.-\frac23x+\left(4x-\frac67\right)=\frac{9}{21}\)
\(-\frac23x+4x-\frac67=\frac{9}{21}\)
\(\frac{10}{3}x=\frac97\)
\(x=\frac97:\frac{10}{3}=\frac97\cdot\frac{3}{10}=\frac{27}{70}\)

a: \(\left(-\frac54x+3,25\right)\left\lbrack\frac35-\left(-\frac52x\right)\right\rbrack=0\)
=>\(\left(\frac54x-\frac{13}{4}\right)\left(\frac52x+\frac35\right)=0\)
=>\(\left[\begin{array}{l}\frac54x-\frac{13}{4}=0\\ \frac52x+\frac35=0\end{array}\right.\Rightarrow\left[\begin{array}{l}\frac54x=\frac{13}{4}\\ \frac52x=-\frac35\end{array}\right.\Rightarrow\left[\begin{array}{l}x=\frac{13}{4}:\frac54=\frac{13}{5}\\ x=-\frac35:\frac52=-\frac{6}{25}\end{array}\right.\)
b: \(\left(-\frac72x+1,75\right)\left\lbrack\frac45-\left(-\frac53x\right)\right\rbrack=0\)
=>\(\left[\begin{array}{l}-\frac72x+1,75=0\\ \frac45-\left(-\frac53x\right)=0\end{array}\right.\Longrightarrow\left[\begin{array}{l}-\frac72x=-1,75=-\frac74\\ \frac53x=-\frac45\end{array}\right.\)
=>\(\left[\begin{array}{l}x=\frac{-7}{4}:\frac{-7}{2}=\frac24=\frac12\\ x=-\frac45:\frac53=-\frac45\cdot\frac35=-\frac{12}{25}\end{array}\right.\)
c: \(\left(x^2-4\right)\left(x+\frac27\right)=0\)
=>\(\left[\begin{array}{l}x^2-4=0\\ x+\frac27=0\end{array}\right.\Rightarrow\left[\begin{array}{l}x^2=4\\ x=-\frac27\end{array}\right.\Rightarrow\left[\begin{array}{l}x=2\\ x=-2\\ x=-\frac27\end{array}\right.\)
d: \(\left(25-x^2\right)\left(5x-\frac59\right)=0\)
=>\(\left[\begin{array}{l}25-x^2=0\\ 5x-\frac59=0\end{array}\right.\Rightarrow\left[\begin{array}{l}x^2=25\\ 5x=\frac59\end{array}\right.\Rightarrow\left[\begin{array}{l}x=5\\ x=-5\\ x=\frac19\end{array}\right.\)
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