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\(25+27-48-25-37=\left(25-25\right)+\left(27-37\right)-48\)
\(=0-10-48\)
\(=-58\)
-145.(13-57)+57.(10-145)
=-145.(-44)+57.(-135)
=6380+(-7695)
=-1315
-145.(13-57)+57.(10-145)=(-145).(-44)+57.(-135)=6380+(-7695)=-1315
Đặt A=2/3+2/6+2/12+...+2/768
=2/3(1+1/2+1/4+...+1/256)
Đặt B=1+1/2+1/4+...+1/256
=>2B=2+1+1/2+...+1/128
=>B=2-1/256=511/256
=>\(A=\dfrac{2}{3}\cdot\dfrac{511}{256}=\dfrac{511}{128\cdot3}=\dfrac{511}{384}\)
p: \(\dfrac{5}{1\cdot2}+\dfrac{5}{2\cdot3}+...+\dfrac{5}{50\cdot51}\)
\(=5\left(\dfrac{1}{1\cdot2}+\dfrac{1}{2\cdot3}+...+\dfrac{1}{50\cdot51}\right)\)
\(=5\left(1-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+...+\dfrac{1}{50}-\dfrac{1}{51}\right)\)
\(=5\cdot\left(1-\dfrac{1}{51}\right)=5\cdot\dfrac{50}{51}=\dfrac{250}{51}\)
q: \(\dfrac{1}{3}+\dfrac{1}{6}+\dfrac{1}{10}+...+\dfrac{1}{210}\)
\(=\dfrac{2}{6}+\dfrac{2}{12}+\dfrac{2}{20}+...+\dfrac{2}{420}\)
\(=2\left(\dfrac{1}{6}+\dfrac{1}{12}+\dfrac{1}{20}+...+\dfrac{1}{420}\right)\)
\(=2\left(\dfrac{1}{2\cdot3}+\dfrac{1}{3\cdot4}+...+\dfrac{1}{20\cdot21}\right)\)
\(=2\left(\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+...+\dfrac{1}{20}-\dfrac{1}{21}\right)\)
\(=2\left(\dfrac{1}{2}-\dfrac{1}{21}\right)=2\cdot\dfrac{19}{42}=\dfrac{19}{21}\)
58+(-7)+9+(-11)+13+(-15)=[58+(-11)]+{[(-7)+(-15)]+[13+9]}
=47+[(-22)+22]
=47+0=47
Vậy nha :)
\(=\dfrac{-5}{12}+\dfrac{6}{11}+\dfrac{7}{17}+\dfrac{5}{11}+\dfrac{5}{12}=1+\dfrac{7}{17}=\dfrac{24}{17}\)