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\( \frac{\text { Условие задания: }}{\text { Упрости выражение } \frac{6}{d-10}+\frac{3}{d}} \) Ответ: \( \frac{\square d-\square}{\square(d-\square)} \)

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Jan 26,2025

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Упрощённое выражение: \( \frac{9d - 30}{d(d - 10)} \)

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Чтобы упростить выражение \( \frac{6}{d-10}+\frac{3}{d} \), сначала найдем общий знаменатель, которым будет \( d(d-10) \). Перепишем дроби: \[ \frac{6d}{d(d-10)} + \frac{3(d-10)}{d(d-10)} = \frac{6d + 3(d-10)}{d(d-10)}. \] Упрощаем числитель: \[ 6d + 3(d-10) = 6d + 3d - 30 = 9d - 30. \] Итак, выражение становится: \[ \frac{9d - 30}{d(d-10)}. \] Таким образом, ответ будет: \[ \frac{\square d-\square}{\square(d-\square)} = \frac{9d-30}{d(d-10)}. \] Теперь подставим значения в клетки: \( 9, 30, 1, 10 \).

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