Вычислите: \( \frac{124,5^{2}-106,5^{2}}{64^{2}-44^{2}} \) A) 71

Calculate or simplify the expression \( (124.5^2-106.5^2)/(64^2-44^2) \). Calculate the value by following steps: - step0: Calculate: \(\frac{\left(124.5^{2}-106.5^{2}\right)}{\left(64^{2}-44^{2}\right)}\) - step1: Remove the parentheses: \(\frac{124.5^{2}-106.5^{2}}{64^{2}-44^{2}}\) - step2: Convert the expressions: \(\frac{\left(\frac{249}{2}\right)^{2}-106.5^{2}}{64^{2}-44^{2}}\) - step3: Convert the expressions: \(\frac{\left(\frac{249}{2}\right)^{2}-\left(\frac{213}{2}\right)^{2}}{64^{2}-44^{2}}\) - step4: Subtract the numbers: \(\frac{4158}{64^{2}-44^{2}}\) - step5: Subtract the numbers: \(\frac{4158}{2160}\) - step6: Reduce the fraction: \(\frac{77}{40}\) Результат: \( \frac{124.5^{2}-106.5^{2}}{64^{2}-44^{2}} = 1.925 \)