29+3
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\(\frac{-15}{29}.\frac{7}{8}-\frac{15}{29}.\frac{3}{8}+\frac{15}{29}:\frac{4}{3}\)
\(=\left(\frac{-15}{29}\right)\left(\frac{7}{8}+\frac{3}{8}-\frac{6}{8}\right)\)
\(\left(\frac{-15}{29}\right).\frac{1}{2}=\frac{-15}{58}\)
-15/29 . 7/8 - 15/29 . 3/8 + 15/29 : 4/3 = 15/29 . -7/8 - 15/29 . 3/8 + 15/29 . 3/4
=15/29 . ( -7/8 - 3/8 + 3/4)
=15/29. -1/2
=-15/58

`(3/29-1/15) xx 29/3`
`=3/29 xx 29/3 - 1/15 xx 29/3`
`=1 - 29/45`
`=16/45`

-29.(85-47)-85.(47-29)
=-29.38-85.18
=-1102-1503
=-2605
-15.(23-29)+23-(15-29)
=-15.(-6)+23-(-14)
=90+23+14
=113+14
=127
-13.(55-29)+23.(15-29)
=-13.26+23.(-14)
=-338+(-322)
=-660
-10.(2+4)-5.(4-3)
=-10.6-5.1
=-60-5
=-65

Ta có :
\(\frac{1}{x\left(x+1\right)}+\frac{1}{\left(x+1\right)\left(x+2\right)}+....+\frac{1}{\left(x+5\right)\left(x+6\right)}\)
\(=\frac{1}{x}-\frac{1}{x+1}+\frac{1}{x+1}-\frac{1}{x+2}+....+\frac{1}{x+5}-\frac{1}{x+6}\)
\(=\frac{1}{x}-\frac{1}{x+6}\)
\(=\frac{6}{x\left(x+6\right)}\)

a,3/29.29/3-1/15.29/3=1-29/45=16/45
b,23/27(7/9-5/9-1)=23/27(-7/9)=161/243


S = 1 * 2 + 2 * 3 + 3 * 4 + ...... + 28 * 29 + 29 * 30
3S = 1 x 2 x 3 - 1 x 2 x 3 + 2 x 3 x 4 - 2 x 3 x 4 + .............. + 29 x 30 x 31
3S = 29 x 30 x 31
S = 29 x 30 x 31 : 3 = 8990
Ta có : S = 1.2 + 2.3 + 3.4 + ..... + 28.29 + 29.30
<=> 3S = 1.2.3 - 1.2.3 + 2.3.4 - 2.3.4 + ...... + 29.30.31
<=> 3S = 29.30.31
<=> S = 29.30.31 / 3 = 8990
Chúc học tốt nhé !
29+3=32
32