(3х-2)(3х+2)(9х²+4)

Question 1

Задача Задача №514672

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Аноним

27 февраля 2024 04:38 · публичный вопрос

А

Аноним 27 февраля 2024 04:38

(3х-2)(3х+2)(9х²+4)

Answer

To expand the given expression, we will multiply the terms step by step.

First, let's multiply (3x-2) and (3x+2) using the distributive property (FOIL method): (3x - 2)(3x + 2) = 3x * 3x + 3x * 2 - 2 * 3x - 2 * 2 = 9x² + 6x - 6x - 4 = 9x² - 4
Next, we will multiply the result from step 1 with (9x² + 4): (9x² - 4)(9x² + 4) = 9x² * 9x² + 9x² * 4 - 4 * 9x² - 4 * 4 = 81x^4 + 36x² -36x² - 16 = 81x⁴ - 16

Therefore, the expanded form of the expression (3x-2)(3x+2)(9x²+4) is 81x⁴ - 16.

Question 2

(3х-2)(3х+2)(9х²+4)

Answer

To expand the given expression, we will multiply the terms step by step. 1. First, let's multiply (3x-2) and (3x+2) using the distributive property (FOIL method): (3x - 2)(3x + 2) = 3x * 3x + 3x * 2 - 2 * 3x - 2 * 2 = 9x² + 6x - 6x - 4 = 9x² - 4 2. Next, we will multiply the result from step 1 with (9x² + 4): (9x² - 4)(9x² + 4) = 9x² * 9x² + 9x² * 4 - 4 * 9x² - 4 * 4 = 81x^4 + 36x² -36x² - 16 = 81x⁴ - 16 Therefore, the expanded form of the expression (3x-2)(3x+2)(9x²+4) is 81x⁴ - 16.