# If x + 1/y = a + 1/b,then show that x.x + 1/(y.y) = a.a + 1/(b.b)?

$\text{see explanation}$
$x + \frac{1}{y} = a + \frac{1}{b}$
$\text{then "x=a" and "y=blarrcolor(blue)"by comparison}$
${x}^{2} + \frac{1}{y} ^ 2 = {a}^{2} + \frac{1}{b} ^ 2 \text{ as required}$