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\(\dfrac{-5}{23}\cdot\dfrac{17}{26}+\dfrac{5}{-23}\cdot\dfrac{9}{26}\)
= \(\dfrac{-5}{23}\cdot\dfrac{17}{26}+\dfrac{-5}{23}\cdot\dfrac{9}{26}\)
= \(\dfrac{-5}{23}\left(\dfrac{17}{26}+\dfrac{9}{26}\right)\)
= \(\dfrac{-5}{23}\cdot1=\dfrac{-5}{23}\)
\(=\dfrac{9^3\left(2^3\cdot9+45\right)}{9^2\cdot9}=8\cdot9+45=117\)
5/23 x 17/26 + 9/26 x 5/23
= 5/23 x(17/26 + 9/26)
= 5/23 x 1
=5/23
\(\dfrac{-5}{23}\cdot\dfrac{17}{26}+\dfrac{5}{23}\cdot\dfrac{9}{-29}\)
= \(\dfrac{5}{23}\cdot\dfrac{-17}{26}+\dfrac{5}{23}\cdot\dfrac{-9}{29}\)
= \(\dfrac{5}{23}\left(\dfrac{-17}{26}+\dfrac{-9}{26}\right)\)
= \(\dfrac{5}{23}\cdot\left(-1\right)=\dfrac{-5}{23}\)
\(\dfrac{-5}{23}.\dfrac{17}{26}+\dfrac{5}{23}.\dfrac{9}{-26}=\dfrac{-5}{23}.\left(\dfrac{17}{26}+\dfrac{9}{26}\right)\)
\(=\dfrac{-5}{23}.\left(\dfrac{17+9}{26}\right)=\dfrac{-5}{23}.\dfrac{26}{26}\)
\(=\dfrac{-5}{23}.1=\dfrac{-5}{23}\)
\(=\dfrac{9^3\cdot\left(2^3\cdot3+45\right)}{9^3}=8\cdot3+45=69\)
Đặt : \(A=\frac{1}{20.23}+\frac{1}{23.26}+\frac{1}{26.29}+...+\frac{1}{77.80}\)
\(\Rightarrow3A=\frac{3}{20.23}+\frac{3}{23.26}+\frac{3}{26.29}+...+\frac{3}{77.80}\)
\(\Rightarrow3A=\frac{1}{20}-\frac{1}{23}+\frac{1}{23}-\frac{1}{26}+\frac{1}{26}-\frac{1}{29}+...+\frac{1}{77}-\frac{1}{80}\)
\(\Rightarrow3A=\frac{1}{20}+\left(\frac{1}{23}-\frac{1}{23}\right)+\left(\frac{1}{26}-\frac{1}{26}\right)+...+\left(\frac{1}{77}-\frac{1}{77}\right)-\frac{1}{80}\)
\(\Rightarrow3A=\frac{1}{20}-\frac{1}{80}\)
\(\Rightarrow3A=\frac{3}{80}\)
\(\Rightarrow A=\frac{3}{80}:3\)
\(\Rightarrow A=\frac{1}{80}\)
Vì 80 > 79 nên \(\frac{1}{80}< \frac{1}{79}\)hay \(A< \frac{1}{79}\)
~ Hok tốt ~
\(\left(-26\right)\times\left(94-23\right)-94\times\left(23-26\right)\)
\(=-1564\)
=-1564