2x-2x=3 হলে, প্রমাণ করুন যে, 8x3-1x3=63

Question

Shohan

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2025-01-04 04:42

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2x-2x=3 হলে দেখাও যে 8x3-1x3=63.

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x2 -5x+1=0 হলে x3+1x3 =?

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x+1x=2 হলে x3+1x3=?

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x - 1x = 3 হলে x3 - 1x3 এর মান কত?

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x4-x2+1 = 0 হলে x3+1x3=?

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Shohan · Accepted Answer · 2024-12-14T13:31:11+06:00

Shohan

দেওয়া আছে, $2 x - \frac{2}{x} = 3$

L.H.S.=8( $x^{3} - \frac{1}{x^{3}}) = {(2 x)}^{3} - {(\frac{2}{x})}^{3} = {(2 x - \frac{2}{x})}^{3} + 2.2 x . \frac{2}{x} (2 x - \frac{1}{x})$

$= 3^{3} + 12.3 = 27 + 36 = 63 = R . H . S . ∴ L . H . S . = R . H . S .$

10 views Answered 2024-12-14 13:31