simplify 1/(1+(x/y)^2)
You asked:
Simplify the expression: \(\frac{1}{1 + {\left( \frac{x}{y} \right)}^{2}}\)
MathBot Answer:
Simplified:
\[ \frac{1}{1 + {\left( \frac{x}{y} \right)}^{2}} = \frac{y^{2}}{x^{2} + y^{2}} \]
Expanded:
\[ \frac{1}{1 + {\left( \frac{x}{y} \right)}^{2}} = \frac{1}{\frac{x^{2}}{y^{2}} + 1} \]
Factored:
\[ \frac{1}{1 + {\left( \frac{x}{y} \right)}^{2}} = \frac{y^{2}}{x^{2} + y^{2}} \]