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\(\Leftrightarrow n^5+n^2-n^2+1⋮n^3+1\)
\(\Leftrightarrow-n^3+n⋮n^3+1\)
\(\Leftrightarrow n=1\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a)\(=\dfrac{12}{13}\times\left(\dfrac{5}{9}+\dfrac{13}{9}\right)=\dfrac{12}{13}\times2=\dfrac{24}{13}\)
b)\(=2\times\left(\dfrac{29}{12}-\dfrac{5}{12}\right)=2\times2=4\)
![](https://rs.olm.vn/images/avt/0.png?1311)
1:
a: 32-(-1,6)=32+1,6=33,6
b: (-0,5)*1,23=123/100*(-1/2)=-123/200
c: =-2,3-7,7=-10
d: =13/40-321/100
=65/200-642/200=-577/200
2:
a: =-42/5*16/5=-672/25=-26,88
b: =3,176-3,284=-0,108
c: =-2,89+8,075+3,14
=0,25+8,075=8,325
![](https://rs.olm.vn/images/avt/0.png?1311)
\(P=\dfrac{1}{\sqrt{1}+\sqrt{3}}+\dfrac{1}{\sqrt{3}+\sqrt{5}}+...+\dfrac{1}{\sqrt{77}+\sqrt{79}}+\dfrac{1}{\sqrt{79}+\sqrt{81}}\)
\(P=\dfrac{\sqrt{1}-\sqrt{3}}{\left(\sqrt{1}+\sqrt{3}\right)\left(\sqrt{1}-\sqrt{3}\right)}+\dfrac{\sqrt{3}-\sqrt{5}}{\left(\sqrt{3}+\sqrt{5}\right)\left(\sqrt{3}-\sqrt{5}\right)}+...+\dfrac{\sqrt{79}-\sqrt{81}}{\left(\sqrt{79}+\sqrt{81}\right)\left(\sqrt{79}-\sqrt{81}\right)}\)
\(P=\dfrac{\sqrt{1}-\sqrt{3}}{1-3}+\dfrac{\sqrt{3}-\sqrt{5}}{3-5}+...+\dfrac{\sqrt{79}-\sqrt{81}}{79-81}\)
\(P=\dfrac{\sqrt{1}-\sqrt{3}+\sqrt{3}-\sqrt{5}+\sqrt{5}-\sqrt{7}+...+\sqrt{77}-\sqrt{79}+\sqrt{79}-\sqrt{81}}{-2}\)
\(P=\dfrac{1-9}{-2}\)
\(P=\dfrac{-8}{-2}\)
\(P=4\)
⇒ Chọn B
\(P=\dfrac{\sqrt{3}-1}{2}+\dfrac{\sqrt{5}-\sqrt{3}}{2}+...+\dfrac{\sqrt{81}-\sqrt{79}}{2}\)
\(=\dfrac{-1+\sqrt{3}-\sqrt{3}+\sqrt{5}-...-\sqrt{79}+9}{2}=\dfrac{8}{2}=4\)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài 3:
a: \(=\left(-47+47\right)+\left(200-400\right)=-200\)
b: \(=\left(-2\right)+\left(-2\right)+\left(-2\right)=-6\)
c: \(=25\left(-19-81\right)=25\cdot\left(-100\right)=-2500\)
d: \(=17\cdot28-17\cdot32-28\cdot17+28\cdot32=32\cdot11=352\)
e: \(=12-57+57-12=0\)
đề :)?
chi tiết cái j?