Question

(b − 2)(b²+ 2b - 3).​

Answer 1

Ответ:

На фото

Объяснение:

Answer 2

To simplify the expression (b - 2)(b² + 2b - 3), we can use the distributive property of multiplication over addition/subtraction.

First, let's distribute the factor (b - 2) into each term of the second factor:

(b - 2)(b² + 2b - 3) = b(b² + 2b - 3) - 2(b² + 2b - 3)

Now, let's simplify each term separately:

Term 1: b(b² + 2b - 3) Multiplying b with each term inside the parentheses: = b³ + 2b² - 3b

Term 2: -2(b² + 2b - 3) Multiplying -2 with each term inside the parentheses: = -2b² - 4b + 6

Now, we can combine the simplified terms:

(b - 2)(b² + 2b - 3) = (b³ + 2b² - 3b) - (2b² + 4b - 6)

Next, let's simplify further by combining like terms:

b³ + 2b² - 3b - 2b² - 4b + 6

Combining like terms: = b³ + (2b² - 2b²) + (-3b - 4b) + 6 = b³ - 7b + 6

Therefore, the simplified form of (b - 2)(b² + 2b - 3) is b³ - 7b + 6.