Bạn vào:câu hỏi của :Vũ Ngân Hà -olm

\(A=\frac{1\cdot2+2\cdot4+3\cdot6+4\cdot8+5\cdot10+6\cdot12}{3\cdot4+6\cdot8+9\cdot12+12\cdot16+15\cdot20+18\cdot24}\)

\(A=\frac{2\cdot3\left[1\cdot2\right]+2\cdot3\left[2\cdot4\right]+2\cdot3\left[3\cdot6\right]+2\cdot3\left[4\cdot8\right]+2\cdot3\left[5\cdot10\right]}{3\cdot4\left[3\cdot4+6\cdot8+9\cdot12+12\cdot16+15\cdot20\right]}\)

\(A=\frac{\left[3\cdot4+6\cdot8+9\cdot12+12\cdot16+15\cdot20\right]}{2\cdot3\left[3\cdot4+6\cdot8+9\cdot12+12\cdot16+15\cdot20\right]}=\frac{1}{2\cdot3}=\frac{1}{6}\)

\(\frac{3.6.2.7}{12.7.9.2}=\frac{3.6.2.7}{6.2.7.3.3.2}=\frac{1}{6}\)

\(\frac{3.4.30.56}{9.8.7.8.20}=\frac{3.4.5.6.7.8}{4.5.7.8.8.9}=\frac{1}{4}\)

a, \(\frac{3.6.2.7}{12.7.9.2}=\frac{3.6.2.7}{6.2.7.3.3.2}=\frac{1}{6}\)

b, \(\frac{3.4.30.56}{9.8.7.8.20}=\frac{3.4.3.10.7.8}{3.3.8.7.8.2.10}=\frac{1}{4}\)

Học tốt !

a) S=1+2+4+8+...+512

       =(1+2)+(4+8)+...+(508+512)

       =(3+12+....+1020) chia hết cho 3

b S=1+2+4+8+..+512

số số hạng là:

2+(512-4):4+1=2+129=131(số hạng)

tổng là :

3+(512+4):2.129=33285

1-2+3-4+5-6...+2015-2016

= (1 - 2) + (3 - 4) + (5 - 6) + ... + (2015 - 2016)

= -1 + (-1) + (-1) + ... + (-1) có 1008 số -1

= -1.1008

= -1008

 1 - 2 + 3 - 4 + 5 - 6 + ... + 2015 - 2016 

= ( 1- 2) + (3 - 4) + ( 5 - 6 ) + .... + (2015 - 2016 )

= ( -1 ) + (-1) + ( -1 ) + ..... + (-1)     [ Có 1008 số ( -1 ) ]

= ( -1 ) . 1008 

= -1008

a)(y-5).(y+8)-(y+4).(y-1)

=y²+8y-5y-40-y²+y-4y-4

=-44

b)y⁴-(y²-1)(y²+1)

=y⁴-y⁴-1

=-1

wbn k cho mình nha!
 

\(a,\frac{7}{25}\cdot\frac{39}{-14}\cdot\frac{50}{78}=\frac{7}{25}\cdot-\frac{39}{14}\cdot\frac{25}{39}=-\frac{7}{14}=-\frac{1}{2}\)

\(b,\left(\frac{3}{8}+-\frac{3}{4}+\frac{7}{12}\right):\frac{5}{6}+\frac{1}{2}\)

\(=\frac{5}{24}:\frac{5}{6}+\frac{1}{2}=\frac{1}{4}+\frac{1}{2}=\frac{6}{8}=\frac{3}{4}\)

Còn nữa:

7/19.8/11+3/11.7/19+-12/19

\(\frac{7}{3}\)\(+\frac{1}{2}\)\(+\frac{-3}{70}\)\(=\frac{293}{105}\)
\(\frac{5}{12}\)\(+\frac{3}{-16}\)\(+\frac{3}{4}\)\(=\frac{47}{48}\)
\(\frac{5}{3}\)\(+\left(7+\frac{-5}{3}\right)=\frac{5}{3}\)\(+\frac{-5}{3}\)\(+7=0+7=7\)
\(\frac{-7}{31}\)\(+\left(\frac{24}{17}+\frac{7}{31}\right)=\left(\frac{-7}{31}+\frac{7}{31}\right)+\frac{24}{17}=0+\frac{24}{17}\)\(=\frac{24}{17}\)
\(\frac{3}{7}\)\(+\left(\frac{-1}{5}+\frac{-3}{7}\right)=\left(\frac{3}{7}+\frac{-3}{7}\right)+\frac{-1}{5}\)\(=0+\frac{-1}{5}\)\(=\frac{-1}{5}\)
Nếu được cho mình xin 1 k đúng ^_^