Question

if x+1/x=A+B and x-1/x=A-B then find the value of x2-1/x2????​

Answer 1

Answer:

$here \: is \: your \: solution \: mate \: \: \: \: \: \\ \\ x {}^{2} - \frac{1}{x {}^{2} } = (x + \frac{1}{x}) (x - \frac{1}{x} ) \\ x {}^{2} - \frac{1}{x {}^{2} } =(a + b)(a - b) \\ x {}^{2} - \frac{1}{x {}^{2} } =a {}^{2} - b {}^{2}$