tex]...

August 2022 1 14 Report

Найти член разложения бинома
[tex] (\frac{4 }{ \sqrt[3]{x} } + \sqrt[3]{x} ) ^{9} [/tex]
содержащий
[tex] \frac{1}{x} [/tex]

Answers & Comments

sangers1959

Verified answer

Объяснение:

$(\frac{4}{\sqrt[3]{x}} +\sqrt[3]{x} } )^9.\ \ \ \ \ \frac{1}{x}=?$

Пусть∛х=t ⇒ x=t³.

$(\frac{4}{t}+t)^9.\ \ \ \ \ \ \ \ \frac{1}{t^3}=?$

$C_9^3(\frac{4}{t})^{9-3}t^3\frac{9!}{(9-3)!*3!} (\frac{4}{t})^6t^3=\frac{6!*7*8*9}{6!*1*2*3} \frac{4^6t^3}{t^6}=84*\frac{4^6}{t^3}=\\=84*\frac{4^6}{(\sqrt[3]{x})^3 } =84*\frac{4096}{x} =\frac{344064}{x}=344064*\frac{1}{x} .$

Ответ: 344064/x.

1 votes Thanks 0

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Answers & Comments

Verified answer

pomogite pozhalujstakak pravilno okolo polutora sutok ili okolo polutora sutok

3cao2h3po4ca3po42n2o napishite polnye i sokrashennye ionnye uravneniya6ec1b0da4b31dd8599cbefcd44b5c713 52989

pomogite pozhalujsta napisat sochinenie rassuzhdenie na temu s chego nachinaetsya ro

napishite programmu kotoraya poluchaet s klaviatury naturalnoe chislo i nahodit nai

napishite programmu kotoraya poluchaet tri chisla rost sportsmenov i vyvodit soobsh

pomogite pozhalujstavyyasnit delitsya li na 37 chislo a esli a 33355522224443

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