= 35 . 34 + 35 . 38 + 65 . (-75 ) + 65 . ( -45 )

= 35 . ( 34 + 38 ) + 65 . ( -75 - 45 ) 

= 35 . 72 + 65 . ( -120 )

= 2520 - 7800 

= -5280 

35.34+(-35).(-38)+65.(-75)+(-65).45

= 35 . 34 + 35 . 38 + 65 . (-75 ) + 65 . ( -45 )

= 35 . ( 34 + 38 ) + 65 . ( -75 - 45 ) 

= 35 . 72 + 65 . ( -120 )

= 2520 - 7800 

= -5280 

xin like

\(a,\dfrac{2}{7}+\dfrac{1}{4}=\dfrac{8}{28}+\dfrac{7}{28}=\dfrac{15}{28}\\ b,\dfrac{3}{5}+\dfrac{3}{8}=\dfrac{3.8}{5.8}+\dfrac{3.5}{5.8}=\dfrac{6}{5}\\ c,=\dfrac{4.3}{9.3}+\dfrac{10}{27}=\dfrac{12+10}{27}=\dfrac{22}{27}\\ d,=\dfrac{2.3}{3.3}+\dfrac{7}{9}=\dfrac{6+7}{9}=\dfrac{13}{9}\\ e,=\dfrac{5.5}{12.5}+\dfrac{7.4}{15.4}=\dfrac{25+28}{60}=\dfrac{53}{60}\)

\(\dfrac{2}{7}+\dfrac{1}{4}=\dfrac{8}{28}+\dfrac{7}{28}=\dfrac{15}{28};\dfrac{3}{5}+\dfrac{3}{8}=\dfrac{24}{40}+\dfrac{15}{40};\dfrac{4}{9}+\dfrac{10}{27}=\dfrac{12}{27}+\dfrac{10}{27}=\dfrac{22}{27};\dfrac{2}{3}+\dfrac{7}{9}=\dfrac{18}{27}+\dfrac{21}{27}=\dfrac{39}{27};\dfrac{5}{12}+\dfrac{7}{15}=\dfrac{75}{180}+\dfrac{84}{180}=\dfrac{159}{180}\)

Hế lô Shinichi Kudo

Do p là số nguyên tố > 3

⇒ p = 6k + 1 (k thuộc N)

      p = 6k + 5 (k thuộc N)                                                                                                                       

+) Với p = 6k + 5 thì:

p + 4 = (6k + 5) + 4 = 6k +9 chia hết cho 3 (Loại - Do p + 4 là số nguyên tố)                     

⇒ p = 6k + 1. Vậy khi đó:

p + 8 = (6k +1) + 8 = 6k + 9 chia hết cho 3 (Thỏa mãn p + 8 là hớp số)

⇒ Đpcm. 

Có tất cả 16 bức tranh

16 bức nha

\(\frac{x+5}{2005}+\frac{x+6}{2004}+\frac{x+7}{2003}=-3\)

\(\Leftrightarrow\frac{x+5}{2005}+1+\frac{x+6}{2004}+1+\frac{x+7}{2003}+1=0\)

\(\Leftrightarrow\frac{x+2010}{2005}+\frac{x+2010}{2004}+\frac{x+2010}{2003}=0\)

\(\Leftrightarrow x+2010=0\)

\(\Leftrightarrow x=-2010\).

b: x=-15

\(\text{a)}\dfrac{3}{4}x-\dfrac{1}{2}=\dfrac{3}{7}\)

   \(\dfrac{3}{4}x\)          \(=\dfrac{3}{7}+\dfrac{1}{2}=\dfrac{13}{14}\)

      \(x\)          \(=\dfrac{13}{14}.\dfrac{4}{3}=\dfrac{26}{21}\)

\(\text{b)}\dfrac{x}{27}=\dfrac{-2}{3,6}\)

\(x=\dfrac{-2.27}{3,6}=-15\)

\(\text{c)}\dfrac{x}{2}=\dfrac{18}{x}\)

\(\Leftrightarrow x.x=18.2=36\)

\(\Leftrightarrow x^2=36\)

\(\Rightarrow x\in\left\{6;\left(-6\right)\right\}\)

\(\dfrac{x+9}{x^2-9}-\dfrac{3}{x^2+3x}\)

= \(\dfrac{x+9}{\left(x-3\right).\left(x+3\right)}-\dfrac{3}{x.\left(x+3\right)}\)

=\(\dfrac{\left(x+9\right).x}{\left(x-3\right).\left(x+3\right).x}-\dfrac{3.\left(x-3\right)}{x.\left(x+3\right).\left(x-3\right)}\)

=\(\dfrac{x^2+9x}{x\left(x-3\right)\left(x+3\right)}-\dfrac{3x-9}{x\left(x-3\right)\left(x+3\right)}\)

=\(\dfrac{x^2+9-3x+9}{x\left(x-3\right)\left(x+3\right)}\)

=\(\dfrac{x^2-3x+18}{3\left(x-3\right)\left(x+3\right)}\)

`x:50%+x:0,125+x:20%=106,5`

`=>x:1/2+x xx 8 + x : 1/5 =106,5`

`=> x xx 2 + x xx 8 + x xx 5 = 106,5`

`=> x xx (2+8+5)=106,5`

`=> x xx 15 =106,5`

`=> x =106,5:15`

`=> x=7,1`

x : 0,5 + x : 0,125 + x : 0,2 = 106,5 

x : ( 0,5 + 0,125 + 0,2 ) = 106,5 

x : 0,825 = 106,5 

x = 87,8625

a) \(\dfrac{x+9}{x^2-9}\)-\(\dfrac{3}{x^2+3x}\) = \(\dfrac{x+9}{\left(x-3\right)\left(x+3\right)}\)-\(\dfrac{3}{x\left(x+3\right)}\)

                                = \(\dfrac{x^2+9x-3x+9}{x\left(x-3\right)\left(x+3\right)}\)

                                = \(\dfrac{x^2+6x+9}{x\left(x-3\right)\left(x+3\right)}\)

                                = \(\dfrac{\left(x+3\right)^2}{x\left(x-3\right)\left(x+3\right)}\)

                                = \(\dfrac{x+3}{x\left(x-3\right)}\)