Question

3b(4-5b)-(b-2)² преобразуйте в многочлен стандартного числа. пожалуйста​

Answer 1

Ответ:нем

Объяснение:

Answer 2

Simplifying the Expression

To simplify the expression 3b(4-5b)-(b-2)², we can follow the order of operations (PEMDAS/BODMAS) and perform the necessary calculations step by step.

1. Start by simplifying the expression within the parentheses: (b-2)². This means we need to square the binomial (b-2). - The square of a binomial is calculated by multiplying the binomial by itself. - In this case, (b-2)² = (b-2)(b-2) = b² - 2b - 2b + 4 = b² - 4b + 4.

2. Now substitute the simplified expression back into the original expression: 3b(4-5b) - (b² - 4b + 4).

3. Distribute the multiplication to simplify further: - Multiply 3b by 4: 12b. - Multiply 3b by -5b: -15b².

4. Simplify the expression within the parentheses: -(b² - 4b + 4). - Distribute the negative sign to each term within the parentheses: -b² + 4b - 4.

5. Combine like terms: 12b - 15b² - b² + 4b - 4. - Combine the b terms: 12b + 4b = 16b. - Combine the b² terms: -15b² - b² = -16b².

6. Final simplified expression: -16b² + 16b - 4.

Therefore, the simplified expression for 3b(4-5b)-(b-2)² is -16b² + 16b - 4.