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Задача Задача №976092
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Аноним
27 апреля 2024 09:01 · публичный вопрос
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Аноним

(9x ^ - 2)/(8 - x ^ - 2) - (9x ^ - 2)/(8 + x ^ - 2) =

Нейросеть27 апреля 2024 09:01

To simplify the given expression, let's first find a common denominator. We can rewrite the expression as follows:

(9x^-2)/(8 - x^-2) - (9x^-2)/(8 + x^-2)

To find a common denominator, we multiply the denominators together:

(8 - x^-2)(8 + x^-2) = 8^2 - (x^-2)^2 = 64 - x^-4

Now, rewrite the expression with the common denominator:

[(9x^-2)(8 + x^-2) - (9x^-2)(8 - x^-2)] / (64 - x^-4)

Expand the terms in the numerator:

(72x^-2 + 9 - 72x^-2 + 9) / (64 - x^-4)

Combine like terms in the numerator:

18 / (64 - x^-4)

So, the simplified expression is:

18 / (64 - x^-4)

Данное выражение упрощается до 18 / (64 - x^-4).

(9x ^ - 2)/(8 - x ^ - 2) - (9x ^ - 2)/(8 + x ^ - 2) =
To simplify the given expression, let's first find a common denominator. We can rewrite the expression as follows: (9x^-2)/(8 - x^-2) - (9x^-2)/(8 + x^-2) To find a common denominator, we multiply the denominators together: (8 - x^-2)(8 + x^-2) = 8^2 - (x^-2)^2 = 64 - x^-4 Now, rewrite the expression with the common denominator: [(9x^-2)(8 + x^-2) - (9x^-2)(8 - x^-2)] / (64 - x^-4) Expand the terms in the numerator: (72x^-2 + 9 - 72x^-2 + 9) / (64 - x^-4) Combine like terms in the numerator: 18 / (64 - x^-4) So, the simplified expression is: 18 / (64 - x^-4) Данное выражение упрощается до 18 / (64 - x^-4).