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Задача Задача №514685
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Аноним
27 февраля 2024 04:40 · публичный вопрос
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Аноним

(3х-2)(3х+2)(9х²+4)

Нейросеть27 февраля 2024 04:40

To simplify the given expression, we will begin by multiplying the first two binomials using the distributive property:

(3x - 2)(3x + 2) = 3x * 3x + 3x * 2 - 2 * 3x - 2 * 2 = 9x² + 6x - 6x - 4 = 9x² - 4

Now, we will multiply this result with the third binomial:

(9x² - 4)(9x² + 4) = 9x² * 9x² + 9x² * 4 - 4 * 9x² - 4 * 4 = 81x⁴ + 36x² - 36x² - 16 = 81x⁴ - 16

Therefore, the simplified expression is 81x⁴ - 16.

(3х-2)(3х+2)(9х²+4)
To simplify the given expression, we will begin by multiplying the first two binomials using the distributive property: (3x - 2)(3x + 2) = 3x * 3x + 3x * 2 - 2 * 3x - 2 * 2 = 9x² + 6x - 6x - 4 = 9x² - 4 Now, we will multiply this result with the third binomial: (9x² - 4)(9x² + 4) = 9x² * 9x² + 9x² * 4 - 4 * 9x² - 4 * 4 = 81x⁴ + 36x² - 36x² - 16 = 81x⁴ - 16 Therefore, the simplified expression is 81x⁴ - 16.