If 3x - 1-3x - 5- find - i 9x2 - 1-9x2 ii 81x4 - 1-81x4

(i) 9x^2 + 1/9x^2 = ( 3x 1/3x)^2 + 2 = (5)^2 + 2 = 25 + 2 = 27 (ii) 81x^4 + 1/81x^4 = (9x^2 + 1/9x^2)^2 2 = (27)^2 2 = 729 2 = 727 ...

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Expansion of (x-y)^2

If 3x - 1/3x ...

Question

If $3 x - \frac{1}{3 x} = 5$ , find :

(i) $9 x^{2} + \frac{1}{9 x^{2}}$

(ii) $81 x^{4} + \frac{1}{81 x^{4}}$

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