⟹2/3B= 2/10.12+3/12.14+...+3/48.50

⟹2/3B=1/10-1/12+1/12-1/14+...+1/48-1/50

⟹2/3B=1/10-1/50

⟹2.3B=4/50

⟹B=4/50:2/3

⟹B=4/50.2/3

⟹B=8/150

= 3 x ( \(\frac{1}{10x12}+\frac{1}{12x14}+\frac{1}{14x16}+\frac{1}{96x98}\))

= 3 x (\(\frac{1}{10}-\frac{1}{12}+\frac{1}{12}-\frac{1}{14}+\frac{1}{14}-\frac{1}{16}+......+\frac{1}{96}-\frac{1}{98}\))

= 3 x ( \(\frac{1}{10}-\frac{1}{98}\))

= 3 x \(\frac{22}{245}\)

= \(\frac{66}{245}\)

\(\frac{3}{10.12}+\frac{3}{12.14}+\frac{3}{14.16}+...+\frac{3}{96.98}=\frac{3}{2}\left(\frac{2}{10.12}+\frac{2}{12.14}+\frac{2}{14.16}+...+\frac{2}{96.98}\right)\)

\(=\frac{3}{2}.\left(\frac{1}{10}-\frac{1}{12}+\frac{1}{12}-\frac{1}{14}+\frac{1}{14}-\frac{1}{16}+...+\frac{1}{96}-\frac{1}{98}\right)\)

\(=\frac{3}{2}\left(\frac{1}{10}-\frac{1}{98}\right)=\frac{3}{2}.\frac{22}{245}=\frac{33}{245}\)

a) \(\frac{1}{5.6}+\frac{1}{6.7}+\frac{1}{7.8}+\frac{1}{8.9}+\frac{1}{9.10}\)

\(=\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}+\frac{1}{7}-\frac{1}{8}+\frac{1}{8}-\frac{1}{9}+\frac{1}{9}-\frac{1}{10}\)

\(=\frac{1}{5}-\frac{1}{10}\)

\(=\frac{1}{10}\)

b) \(\frac{2}{10.12}+\frac{2}{12.14}+\frac{2}{14.16}+...+\frac{2}{998.1000}\)

\(=\frac{1}{10}-\frac{1}{12}+\frac{1}{12}-\frac{1}{14}+\frac{1}{14}-\frac{1}{16}+...+\frac{1}{998}-\frac{1}{1000}\)

\(=\frac{1}{10}-\frac{1}{1000}\)

\(=\frac{99}{1000}\)

c) \(\frac{4}{1.2}+\frac{4}{2.3}+\frac{4}{3.4}+...+\frac{4}{69.90}\)

\(=4.\left(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{89.90}\right)\)

\(=4.\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{89}-\frac{1}{90}\right)\)

\(=4.\left(1-\frac{1}{90}\right)\)

\(=4.\frac{89}{90}\)

\(=\frac{178}{45}\)

_Chúc bạn học tốt_

a, \(=\frac{1}{10}\)

a) 1/10

b) ............

c)............

Mình giúp rồi t.i.c.k mình :v

=42000/100800=5/12 nha

HT

bạn có thể làm theo mẫu ko 

Mẫu ; 5x6x7x9/ 12x7x27=5x6x7x9/ 6x2x7x9x3 = 5/6 

gấp quá cứu tui cân đáp án 

\(a.\left(-3\right).\left(-2\right).\left(-5\right).4=6.\left(-5\right).4=\left(-30\right).4=-120\)

\(\left(-3\right)\cdot\left(-2\right)\cdot\left(-5\right)\cdot4=6\cdot\left(-5\right)\cdot4=\left(-30\right)\cdot4=-120\)

\(\left(-3\right)\cdot\left(-2\right)\cdot\left(-5\right)\cdot4=6\cdot\left(-20\right)=-120\)

cách 1: x² + 5x + 4

    = x² + x + 4x + 4

    =  (x² + x) (4x + 4)

    = x(x + 1) + 4(x + 1)

    = (x + 1) (x + 4)

cách 2: x² + 5x + 4

      = x² + 5x + 5 - 1

      = (x² - 1) (5x + 5)

       = (x + 1) (x - 1) + 5(x + 1)

        = (x + 1) (x - 1 + 5)

        = (x + 1) (x + 4)

cách 3: x² + 5x + 4

           = x² + 2x + 3x + 1 + 3

           = (x² + 2x + 1) (3x + 3)

           = (x + 1)² + 3(x + 1) 

           = (x + 1) (x + 1 + 3)

           = (x + 1) (x + 4)

cách 4: x² + 5x + 4

       = x² + \(2\frac{5}{2}x+\frac{25}{4}-\frac{9}{4}\)

       = \(\left(x+\frac{5}{2}\right)^2-\left(\frac{3}{2}\right)^2\)

        = \(\left(x+\frac{5}{2}-\frac{3}{2}\right)\left(x+\frac{5}{2}+\frac{3}{2}\right)\)

         = (x + 1) (x + 4)

t i c k nhé!!! 4656576765876898745724724724745756765786876876876876

x la ́8 nhe

3x - 7 = (-4) + 21

3x - 7 =  17

3x      = 17 + 7

3x      = 24

x        = 24 : 3

x        =    8

chả bk đúng ko nhưng chúc bạn học tốt !!!

rat dung la dang khac

1033/57

\(...=\dfrac{152}{10}-\dfrac{15}{9}+\dfrac{48}{10}-\dfrac{4}{19}=\dfrac{76}{5}-\dfrac{5}{3}+\dfrac{24}{5}-\dfrac{4}{19}\)

\(=\dfrac{76}{5}-\dfrac{5}{3}+\dfrac{24}{5}-\dfrac{4}{19}=\dfrac{76}{5}+\dfrac{24}{5}-\dfrac{5}{3}-\dfrac{4}{19}\)

\(=\dfrac{100}{5}-\dfrac{5}{3}-\dfrac{4}{19}=20-\dfrac{5}{3}-\dfrac{4}{19}=\dfrac{20.57-5.19-4.3}{57}=\dfrac{1033}{57}\)

15,2 - 15/9 -(-4,8 ) - 4/19

= 15,2 - 15/9 + 4,8 - 4/19

= ( 15,2 + 4,8 ) + ( -15/9 - 4/19 )

= 20 + (-107/57 )

= 1033/57.