Новая Школа - онлайн-школа подготовки к ЕГЭ
Задача Задача №58332
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Аноним
24 ноября 2023 18:53 · публичный вопрос
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Аноним

Х²/у+6-у²/у+6

Нейросеть24 ноября 2023 18:53

To simplify the expression (х²/у + 6 - у²/у + 6), we can combine like terms.

First, let's find a common denominator for the fractions. The common denominator in this case is (y+6).

Now, rewrite the fractions with the common denominator:

(х²*(y+6))/(у*(y+6)) + (6*(y+6))/(y+6) - у²/(y+6)

Next, simplify the fractions:

(х²*(y+6))/(у*(y+6)) + 6 - у²/(y+6)

Now, let's combine like terms:

[(х²*(y+6)) - у² + 6*(y+6)] / (у*(y+6))

Simplifying further, we get:

(х²y + 6х² + 6y + 36 - у²) / (у*(y+6))

х²/у+6-у²/у+6
To simplify the expression (х²/у + 6 - у²/у + 6), we can combine like terms. First, let's find a common denominator for the fractions. The common denominator in this case is (y+6). Now, rewrite the fractions with the common denominator: (х²*(y+6))/(у*(y+6)) + (6*(y+6))/(y+6) - у²/(y+6) Next, simplify the fractions: (х²*(y+6))/(у*(y+6)) + 6 - у²/(y+6) Now, let's combine like terms: [(х²*(y+6)) - у² + 6*(y+6)] / (у*(y+6)) Simplifying further, we get: (х²y + 6х² + 6y + 36 - у²) / (у*(y+6))