(5/2-4/3).9/14
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14 : ( 42/ 3 - 15/9 ) + 14 : 2/5 + 8/9
= 14 : ( 42/3 - 5/3 ) + 14 : 2/5 + 8/9
= 14 : 37/3 + 14 : 2/5 + 8/9
= 14 : ( 37/3 + 2/5 ) + 8/9
= 14 : ( 185/15 + 6/15 ) + 8/9
= 14 : 191/15 + 8/9
= 210/15 + 8/9
= 134/9
![](https://rs.olm.vn/images/avt/0.png?1311)
4.[-2(8:4) + 15(-3) - (-12)]
= 4.[-2.2 - 45 + 12]
= 4.[-4 - 45 + 12]
= 4.[-49 + 12]
= 4.[-37]
= - 148
3.(25 : 5 - 14 : 2) - 5.(6:2)
= 3.(5 - 7) - 5.3
= 3.(-2) - 15
= - 6 - 15
= -21
![](https://rs.olm.vn/images/avt/0.png?1311)
a: =-5-7-8-3=-26
b: =-4-2-5-6=-17
c: =-8-11-4-2=-25
d: -9-15-6-3=-30
e: =-12-9-3-8=-32
![](https://rs.olm.vn/images/avt/0.png?1311)
\(14:\left(4\frac{2}{3}-1\frac{5}{9}\right)+14:\left(\frac{2}{3}+\frac{8}{9}\right)\)
\(=14:\frac{28}{9}+14:\frac{3}{4}\)
\(=14\times\left(\frac{9}{28}+\frac{4}{3}\right)\)
\(=14\times\frac{27}{112}=\frac{27}{8}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
2/3 = 2 x 4/ 3 x 4 =8/12
8/14 = 8 : 2/ 14 : 2 =4/7
5/9 = 5 x3/ 9 x 3 =15/37
35/ 40 = 35 : 5/ 40 : 5=7/8
![](https://rs.olm.vn/images/avt/0.png?1311)
a) Ta có: \(A^3=\left(\sqrt[3]{2+\sqrt{5}}+\sqrt[3]{2-\sqrt{5}}\right)^3\)
\(=2+\sqrt{5}+2-\sqrt{5}+3\cdot\sqrt[3]{\left(2+\sqrt{5}\right)\left(2-\sqrt{5}\right)}\left(\sqrt[3]{2+\sqrt{5}}+\sqrt[3]{2-\sqrt{5}}\right)\)
\(=4-3\cdot A\)
\(\Leftrightarrow A^3+3A-4=0\)
\(\Leftrightarrow A^3-A+4A-4=0\)
\(\Leftrightarrow A\left(A-1\right)\left(A+1\right)+4\left(A-1\right)=0\)
\(\Leftrightarrow\left(A-1\right)\left(A^2+A+4\right)=0\)
\(\Leftrightarrow A=1\)
![](https://rs.olm.vn/images/avt/0.png?1311)
=7/6.9/14
=3/4
chúc bạn học tốt
\(\left(\dfrac{5}{2}-\dfrac{4}{3}\right).\dfrac{9}{14}=\left(\dfrac{15}{6}-\dfrac{8}{6}\right).\dfrac{9}{14}=\dfrac{7}{6}.\dfrac{9}{14}=\dfrac{3}{4}\)