б) \( \left(\frac{y}{x}-\frac{x}{y}\right):\left(\frac{1}{x}-\frac{1}{y}\right) \)

Calculate or simplify the expression \( (y/x - x/y) / (1/x - 1/y) \). Simplify the expression by following steps: - step0: Solution: \(\frac{\left(\frac{y}{x}-\frac{x}{y}\right)}{\left(\frac{1}{x}-\frac{1}{y}\right)}\) - step1: Remove the parentheses: \(\frac{\frac{y}{x}-\frac{x}{y}}{\frac{1}{x}-\frac{1}{y}}\) - step2: Subtract the terms: \(\frac{\frac{y^{2}-x^{2}}{xy}}{\frac{1}{x}-\frac{1}{y}}\) - step3: Subtract the terms: \(\frac{\frac{y^{2}-x^{2}}{xy}}{\frac{y-x}{xy}}\) - step4: Multiply by the reciprocal: \(\frac{y^{2}-x^{2}}{xy}\times \frac{xy}{y-x}\) - step5: Rewrite the expression: \(\frac{\left(y-x\right)\left(y+x\right)}{xy}\times \frac{xy}{y-x}\) - step6: Reduce the fraction: \(\left(y+x\right)\times 1\) - step7: Multiply the terms: \(y+x\) La expresión \( \left(\frac{y}{x}-\frac{x}{y}\right):\left(\frac{1}{x}-\frac{1}{y}\right) \) se simplifica a \( y+x \).