tính : 2/13+2/35+2/57+........+2/63x65+2/65x67
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a) \(36.\left(-57\right)-57.64\)
\(=36.\left(-57\right)+\left(-57\right).64=\left(-57\right).\left(36+64\right)\)
\(=\left(-57\right).100=-5700\)
b)\(32.\left(-17\right)+\left(-18\right).17-50.13\)
\(=\left(-32\right).17+\left(-18\right).17-50.13\)
\(=17.\left(-32-18\right)-50.13=17.\left(-50\right)+\left(-50\right).13\)
\(=\left(-50\right).\left(17+13\right)=\left(-50\right).30=-150\)
c)\(-\left(-35\right)+12-|-35|-42\)
\(=35+12-35-42=12-42=-30\)
d)\(\left(-15-12\right):\left(-3\right)^2+5-13.\left(-2\right)+\left(-64\right):2^3\)
\(=-27:9+5+26-64:8=-3+5+26-8=20\)
e)\(\left(135-35\right).\left(-37\right)+37.\left(-42-58\right)=100.\left(-37\right)+37.\left(-100\right)\)
\(=\left(-100\right).37+37.\left(-100\right)=\left(-100\right).\left(37+37\right)\)
\(=\left(-100\right).74=-7400\)
Chúc em học tốt!!!!!!
\(A=1-\frac{2}{3\times5}-\frac{2}{5\times7}-\frac{2}{7\times9}-\cdots-\frac{2}{63\times65}\)
\(=1-\left(\frac{2}{3\times5}+\frac{2}{5\times7}+\cdots+\frac{2}{63\times65}\right)\)
\(=1-\left(\frac13-\frac15+\frac15-\frac17+\cdots+\frac{1}{63}-\frac{1}{65}\right)\)
\(=1-\left(\frac13-\frac{1}{65}\right)=1-\frac{62}{195}=\frac{133}{195}\)
1: =20*(-4)+24(-30)
=-80-720=-800
2: =-13*57+13*32+57*13-57*45
=13*32-57*45=-2149
3: =-12*8*125
=-12*1000=-12000
4: =(-134)(1-51+48)
=(-134)*(-2)=268
5: =(-24)(45-5)=40*(-24)=-960
\(\left(19\frac{5}{8}:\frac{7}{12}-13\frac{1}{4}:\frac{7}{12}\right).\frac{4}{5}\)
\(=\left(\frac{157}{8}:\frac{7}{12}-\frac{53}{4}:\frac{7}{12}\right).\frac{4}{5}\)
\(=\left[\left(\frac{157}{8}-\frac{53}{4}\right):\frac{7}{12}\right].\frac{4}{5}\)
\(=\left[\frac{51}{8}:\frac{7}{12}\right].\frac{4}{5}\)
\(=\frac{153}{14}.\frac{4}{5}\)
\(=\frac{306}{35}\)
\(\left(\frac{-2}{5}+\frac{3}{7}\right)-\left(\frac{4}{9}+\frac{12}{20}-\frac{13}{35}\right)+\frac{7}{35}\)
\(=\frac{1}{35}-\frac{212}{315}+\frac{7}{35}\)
\(=\frac{1}{35}+\frac{-212}{315}+\frac{7}{35}\)
\(=\frac{9}{315}+\frac{-212}{315}+\frac{63}{315}\)
\(=\frac{-140}{315}=\frac{-4}{9}\)
1. 25 + (-8) + (-25) + (-2)
= [ 25 + (-25) ] + [ (-8) + (-2) ]
= 0 + (-10)
= -10
2. (-23) + 13 + (-17) + 57
= [ (-23) + (-17) ] + ( 13 + 57 )
= (-40) + 70
= 30
A = 1 3 − 1 3 + 3 5 − 3 5 + 5 7 − 5 7 + 7 9 − 7 9 + 9 11 − 9 11 + 11 13 − 11 13 + 13 15 = > A = 13 15 .

Sửa đề lại nhé!
\(\frac{2}{1.3}+\frac{2}{3.5}+\frac{2}{5.7}+...+\frac{2}{63.65}+\frac{2}{65.67}\)
Ta có:
\(\frac{2}{1.3}+\frac{2}{3.5}+\frac{2}{5.7}+...+\frac{2}{63.65}+\frac{2}{65.67}\)
\(=\frac{1}{1}-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{63}-\frac{1}{65}+\frac{1}{65}-\frac{1}{67}\)
\(=\frac{1}{1}-\frac{1}{67}\)
\(=\frac{66}{67}\)
Ta có : \(\frac{2}{1.3}+\frac{2}{3.5}+\frac{2}{5.7}+......+\frac{2}{65.67}\)
\(=1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+......+\frac{1}{65}-\frac{1}{67}\)
\(=1-\frac{1}{67}\)
\(=\frac{66}{67}\)