If $x + \frac{1}{x}= 3$ , find the value of $x^{3}+\frac{1}{x^{3}}$
Solution
Correct Answer: Option A
দেওয়া আছে, x + 1/x = 3
আমরা জানি, a3 + b3 = (a + b)3 - 3ab(a + b)
এখন,
x3 + 1/x3
= (x + 1/x)3 - 3 × x × 1/x × (x + 1/x)
= 33 - 3 × 3
= 27 - 9
= 18
আমরা জানি, a3 + b3 = (a + b)3 - 3ab(a + b)
এখন,
x3 + 1/x3
= (x + 1/x)3 - 3 × x × 1/x × (x + 1/x)
= 33 - 3 × 3
= 27 - 9
= 18
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