a)15/8+3/4-5/12

=45+18-10/24

=53/24

b)11/24.12/33+5/6

=11.12/12.2.11.3+5/6

=1/6+5/6

=6/6=1

c)15/8+7/24:5/8

=15/8+7/24.8/5

=15/8+7.8/3.8.5

=15/8+7/15

=đề sai, nếu đúng thì như này

=8/15+7/15

=15/15=1

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\(8\cdot427\cdot3+6\cdot573+46\cdot1235\cdot20-5\cdot235\cdot24\)

\(=4\cdot2\cdot427\cdot3+6\cdot573+23\cdot2\cdot1235\cdot20-5\cdot235\cdot4\cdot3\cdot2\)

\(=4\cdot427\cdot6+6\cdot573+23\cdot2\cdot247\cdot5\cdot20-20\cdot5\cdot47\cdot3\cdot2\)

\(=6\cdot\left(4\cdot427+573\right)+23\cdot247\cdot200-47\cdot3\cdot200\)

\(=6\cdot\left(1708+573\right)+23\cdot\left(200+47\right)\cdot200-47\cdot3\cdot200\)

\(=6\cdot2281+23\cdot200\cdot200+23\cdot47\cdot200-47\cdot3\cdot200\)

\(=13686+23\cdot40000+20\cdot200\cdot47\)

\(=13686+920000+4000\cdot47\)

\(=13686+920000+188000\)

\(=13686+\left(920000+188000\right)\)

\(=13686+1108000=1121686\)

trời ơi là trời

làm đúng mà dis

mệt quá là mệt

thằng mô dis tui hử khai mau

tui dis hết luôn cho mà coi

A) 

0,92 × 324 + 0,92 × 678

= 0,92 × (324+678) 

= 0,92 ×  1002

=  0,92 × 1000 + 0,92 × 2

=      920 + 1,84

= 921,84

a)       

a:Sửa đề: 1x3+2x4+...+99x101

\(=1\times\left(1+2\right)+2\times\left(2+2\right)+\cdots+99\times\left(99+2\right)\)

\(=\left(1\times1+2\times2+\cdots+99\times99\right)+2\times\left(1+2+\cdots+99\right)\)

\(=\frac{99\times\left(99+1\right)\times\left(2\times99+1\right)}{6}+2\times\frac{99\times100}{2}\)

\(=\frac{99\times100\times199}{6}+99\times100=33\times50\times199+99\times100\)

\(=33\times50\times\left(199+3\times2\right)=33\times50\times205=338250\)

b: \(\frac89\times\frac{15}{16}\times\ldots\times\frac{2499}{2500}\)

\(=\left(1-\frac19\right)\times\left(1-\frac{1}{16}\right)\times\ldots\times\left(1-\frac{1}{2500}\right)\)

\(=\left(1-\frac13\right)\times\left(1-\frac14\right)\times\ldots\times\left(1-\frac{1}{50}\right)\times\left(1+\frac13\right)\times\left(1+\frac14\right)\times\ldots\times\left(1+\frac{1}{50}\right)\)

\(=\frac23\times\frac34\times\ldots\times\frac{49}{50}\times\frac43\times\frac54\times\ldots\times\frac{51}{50}=\frac{2}{50}\times\frac{51}{3}=\frac{17}{25}\)

a, \(\frac{3}{8}=\frac{6}{x}\Rightarrow3x=6.8\Rightarrow3x=48\Rightarrow x=\frac{48}{3}=16\)

b, \(\frac{1}{8}=\frac{x}{27}\Rightarrow8x=27\Rightarrow x=\frac{27}{8}\)

c, \(\frac{4}{x}=\frac{6}{8}\Rightarrow6x=4.8\Rightarrow6x=32\Rightarrow x=\frac{32}{6}=\frac{16}{3}\)

d, \(\frac{x}{6}=\frac{5}{24}\Rightarrow24x=30\Rightarrow x=\frac{30}{24}=\frac{5}{4}\)

a: \(\left(x^2+x\right)^2+2\left(x^2+x\right)-8=0\)

\(\Leftrightarrow\left(x^2+x+4\right)\left(x^2+x-2\right)=0\)

\(\Leftrightarrow\left(x+2\right)\left(x-1\right)=0\)

hay \(x\in\left\{-2;1\right\}\)

b: \(\Leftrightarrow\left(x-1\right)\left(x-3\right)\left(x+2\right)\left(x+4\right)+24=0\)

\(\Leftrightarrow\left(x^2+x-2\right)\left(x^2+x-12\right)+24=0\)

\(\Leftrightarrow\left(x^2+x\right)^2-14\left(x^2+x\right)+48=0\)

\(\Leftrightarrow\left(x^2+x-6\right)\left(x^2+x-8\right)=0\)

hay \(x\in\left\{-3;2;\dfrac{-1+\sqrt{33}}{2};\dfrac{-1-\sqrt{33}}{2}\right\}\)