tolong dikerjakan dengan caranya yaa makasih

[tex]x = \frac{1}{y} \\ \\ (x-\frac{1}{x})(y+\frac{1}{y}) = (\frac{1}{y}-\frac{1}{\frac{1}{y}})(y+\frac{1}{y}) \\ (x-\frac{1}{x})(y+\frac{1}{y}) = (\frac{1}{y}-y)(y+\frac{1}{y}) \\ (x-\frac{1}{x})(y+\frac{1}{y}) = 1+\frac{1}{y^{2}}-y^{2}-1 \\ (x-\frac{1}{x})(y+\frac{1}{y}) = \frac{1}{y^{2}}-y^{2}[/tex]