Question

If M=x+1/x and N=x-1/xthrn m2-n2=
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Answer 1

Answer:

$m^{2} - n^{2} = 4$

Step-by-step explanation:

$m = x + \frac{1}{x}$

$n = x - \frac{1}{x}$

$m^{2} - n^{2}\\ = (x + \frac{1}{x}) ^{2} - (x - \frac{1}{x}) ^{2}\\= [x^{2} + 2.x.\frac{1}{x} + (\frac{1}{x} )^{2}] - [x^{2} - 2.x.\frac{1}{x} + (\frac{1}{x} )^{2}]\\= 2 - (-2)\\= 4$