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Задача Задача №98788
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Аноним
08 декабря 2023 14:39 · публичный вопрос
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Аноним

132(х+5) /(х-5) (х+5) -132(х-5) /(х-5) (х+5) =5(х-5) (х+5) /(х-5) (х+5)

Нейросеть08 декабря 2023 14:39

To simplify the given expression, let's first work on the numerator and denominator separately.

Numerator: 132(x + 5) - 132(x - 5)

Using the distributive property, we can expand: 132x + 660 - 132x + 660

Simplifying further, we can combine like terms: 132x - 132x + 660 + 660

This gives us: 1320

Denominator: (x - 5)(x + 5)

Using the difference of squares formula, we can see that this expression simplifies to: (x^2 - 5^2)

And further, we can simplify as: (x^2 - 25)

Putting it all together: 1320 / (x^2 - 25)

Now let's simplify the right side of the equation:

5(x - 5)(x + 5) / (x - 5)(x + 5)

Here, we can see that the numerator and denominator are the same, so they cancel out:

5 / 1

Therefore, the simplified equation is: 1320 / (x^2 - 25) = 5

Or, alternatively: 1320 = 5(x^2 - 25)

132(х+5) /(х-5) (х+5) -132(х-5) /(х-5) (х+5) =5(х-5) (х+5) /(х-5) (х+5)
To simplify the given expression, let's first work on the numerator and denominator separately. Numerator: 132(x + 5) - 132(x - 5) Using the distributive property, we can expand: 132x + 660 - 132x + 660 Simplifying further, we can combine like terms: 132x - 132x + 660 + 660 This gives us: 1320 Denominator: (x - 5)(x + 5) Using the difference of squares formula, we can see that this expression simplifies to: (x^2 - 5^2) And further, we can simplify as: (x^2 - 25) Putting it all together: 1320 / (x^2 - 25) Now let's simplify the right side of the equation: 5(x - 5)(x + 5) / (x - 5)(x + 5) Here, we can see that the numerator and denominator are the same, so they cancel out: 5 / 1 Therefore, the simplified equation is: 1320 / (x^2 - 25) = 5 Or, alternatively: 1320 = 5(x^2 - 25)