Question

(x+1/x) (x-1/x) - (x^2 - 1/x^2) prove

Answer 1

$(x+\frac{1}{x})(x-\frac{1}{x})- \frac{x^{2} -1}{ x^{2} }  = x^{2} -1 ^{2} - \frac{x^{2} -1}{ x^{2} }  = \frac{x^{2} -1 ^{2}-x^{2} +1 ^{2}}{ x^{2} }  = \frac{1}{ x^{2} }$




is it right??