Question

(x+1/x)=4 then x³+1/x³​

Answer 1

ANSWER

(x+1/x) ^3= x^3+1/x^3+3(x+1/x)

which implies that

x^3+1/x^3 = 4^3-3(4)

= 64-12 = 52

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Answer 2

Answer:

Hey mate, Good evening ❤

#Here's ur answer..☆☆☆

Step-by-step explanation:

$\boxed{ \orange{ \huge{ answer}}}$

$\bold{ \red{given \: \: x + \frac{1}{x} = 4}} \\ = > (x + \frac{1}{x} ) {}^{2} = 16 \\ = > {x}^{2} + ({ \frac{1}{x} })^{2} + 2 = 16 \\ = > x {}^{2} + \frac{1}{ {x}^{2} } = 14 \\ \\ \bold{ \green{to \: find... {x}^{3} + \frac{1}{ {x}^{3} } }} \\ = (x + \frac{1}{x} )( {x}^{2} + \frac{1}{ {x}^{2} } - 1) \\ = 4(14 - 1) \\ = 4(13) \\ = \bold{ \pink{52}} \: ( \blue{answer})$

➡️Hope this helps you..✌✌

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