Question

Подати у вигляді многочлена 1) (2x-3)(3+2x)= 2) (4a-3b)(4a+3b)= 3) (z+3)²= 4) (3a-6)²= 2) Спростити вираз (3x-2)²+12x=

Answer 1

Ответ:

ответ

Объяснение:

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Answer 2

1. (2x - 3)(3 + 2x): To expand this expression, we can use the distributive property:

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

So, the simplified form of (2x - 3)(3 + 2x) is 4x^2 - 9.

2. (4a - 3b)(4a + 3b): Using the distributive property:

(4a - 3b)(4a + 3b) = 4a * 4a + 4a * 3b - 3b * 4a - 3b * 3b = 16a^2 + 12ab - 12ab - 9b^2 = 16a^2 - 9b^2

The simplified form of (4a - 3b)(4a + 3b) is 16a^2 - 9b^2.

3. (z + 3)²: Expanding using the square of a binomial formula, (a + b)² = a² + 2ab + b²:

(z + 3)² = z² + 2z * 3 + 3² = z² + 6z + 9

So, the simplified form of (z + 3)² is z² + 6z + 9.

4. (3a - 6)²: Using the same formula:

(3a - 6)² = (3a)² + 2 * (3a) * (-6) + (-6)² = 9a² - 36a + 36

The simplified form of (3a - 6)² is 9a² - 36a + 36.

5. (3x - 2)² + 12x: Expanding the square and simplifying:

(3x - 2)² + 12x = (3x)² - 2 * 3x * 2 + 2² + 12x = 9x² - 12x + 4 + 12x = 9x² + 4

So, the simplified form of (3x - 2)² + 12x is 9x² + 4.