Simplify.
fraction numerator y minus x over denominator x squared minus y squared end fraction
You asked:
Simplify the expression: \(\frac{y - x}{{x}^{2} - {y}^{2}}\)
MathBot Answer:
Simplified:
\[ \frac{y - x}{{x}^{2} - {y}^{2}} = - \frac{1}{x + y} \]
Expanded:
\[ \frac{y - x}{{x}^{2} - {y}^{2}} = - \frac{x}{x^{2} - y^{2}} + \frac{y}{x^{2} - y^{2}} \]
Factored:
\[ \frac{y - x}{{x}^{2} - {y}^{2}} = - \frac{1}{x + y} \]