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Ta có:\(\left(\frac{28}{27}-\frac{29}{89}+\frac{30}{89}\right)\left(\frac{1}{3}+\frac{1}{2}-\frac{5}{6}\right)\)
\(=\left(\frac{28}{27}-\frac{29}{89}+\frac{30}{89}\right).\left(\frac{2}{6}+\frac{3}{6}-\frac{5}{6}\right)\)
\(\left(\frac{28}{27}-\frac{29}{89}+\frac{30}{89}\right).0\)
\(=0\)
Đặt A = 28/87 - 29/89 + 30/89
Ta có :
A . ( 1/3 + 1/2 - 5/6 )
= A . ( 2/6 + 3/6 - 5/6 )
= A . ( 5/6 - 5/6 )
= A . 0
= 0
Tham khảo nha !!! Chúc học tốt !!!
`81+(-70)+119 +(-30)+1`
`= (81+119)+[(-70)+(-30)] +1`
`= 200+ (-100)+1`
`= 100+1`
`=101`
a) \(\frac{5}{6}+\frac{11}{12}+\frac{19}{20}+\frac{29}{30}+\frac{41}{42}+\frac{55}{56}+\frac{71}{72}+\frac{89}{90}\)
\(=1-\frac{1}{6}+1-\frac{1}{12}+1-\frac{1}{20}+1-\frac{1}{30}+1-\frac{1}{42}+1-\frac{1}{56}+1-\frac{1}{72}+1-\frac{1}{90}\)
\(=8-\left(\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}+\frac{1}{56}+\frac{1}{72}+\frac{1}{90}\right)\)
\(=8-\left(\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}+\frac{1}{6.7}+\frac{1}{7.8}+\frac{1}{8.9}+\frac{1}{9.10}\right)\)
\(=8-\left(\frac{3-2}{2.3}+\frac{4-3}{3.4}+\frac{5-4}{4.5}+\frac{6-5}{5.6}+\frac{7-6}{6.7}+\frac{8-7}{7.8}+\frac{9-8}{8.9}+\frac{10-9}{9.10}\right)\)
\(=8-\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}+\frac{1}{7}-\frac{1}{8}+\frac{1}{8}-\frac{1}{9}+\frac{1}{9}-\frac{1}{10}\right)\)
\(=8-\left(\frac{1}{2}-\frac{1}{10}\right)=7,6\)
b) Bạn làm tương tự.
Ta có
\(27-\left[20-\left(36-30^2\right)\right]=27-\left(20-6^2\right)=27-\left(20-36\right)\)
\(27-\left(-16\right)=27+16=43\)
b)\(119+\left(-213\right)+212+\left(-118\right)+2012=\left[119+\left(-118\right)\right]+\left[213+\left(-212\right)\right]+2012\)\(1+\left(-1\right)+2012=2012\)
Tick nha nguyen hoang le thi
a)\(3^{n+2}-2^{n+2}+3^n-2^n=3^n\left(3^2+1\right)-2^n\left(2^2+1\right)\)
\(=3^n.1-2^n.5=3^n.10-2^{n-1}.10=10\left(3^n-2^{n-1}\right)\)nên chia hết cho 10
b)\(9^{120}+9^{119}-9^{118}=9^{118}\left(9^2+9-1\right)=9^{118}.89\)
Suy ra chia hết cho 89
c)\(2^{100}+2^{99}+..+2+1=2^{99}\left(2+1\right)+...+\left(2+1\right)\)
\(=2^{99}.3+2^{97}.3+...+3=3\left(2^{99}+2^{97}+...+1\right)\)nên chia hết cho 3