8m-n/mn-m^2 - m-8n/mn-n^2

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Алгебра

Галуха

8 октября, 23:29

8m-n/mn-m^2 - m-8n/mn-n^2

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Дося · Answer 1

(8m - n) / (mn - m²) - (m - 8n) / (mn - n²) = (8m - n) (mn - n²) / (mn - m²) (mn - n²) - (m -

- 8n) (mn - m²) / (mn - m²) (mn - n²) = ((8m - n) (mn - n²) - (m - 8n) (mn - m²)) / (mn - m²) (mn - n²) = (8m²n - 8mn² - mn² + n³ - (m²n-m³ - 8mn² + 8nm²)) / (mn - m²) (mn - n²) =

= (8m²n - 8mn² - mn² + n³ - m²n + m³ + 8mn² - 8nm²) / (mn - m²) (mn - n²) = (n³ -

- mn² - m²n + m³) / (m²n² - m³n - mn³ + m²n²) = (n³ - mn² - m²n + m³) / nm ((-m²) + mn

+ mn - n²) = (n³ - mn² - m²n + m³) / (-nm) (m² - 2mn + n²)