Question

(3-2c)(c + 1) + 2(c −7)²​

Answer 1

Відповідь:

Пояснення:

Answer 2

To simplify the expression (3-2c)(c + 1) + 2(c - 7)², we can follow the order of operations and apply the distributive property. Here are the steps:

Step 1: Expand the first part of the expression using the distributive property. (3 - 2c)(c + 1) = 3(c + 1) - 2c(c + 1) = 3c + 3 - 2c² - 2c

Step 2: Expand the second part of the expression using the distributive property. 2(c - 7)² = 2(c - 7)(c - 7) = 2(c² - 7c - 7c + 49) = 2(c² - 14c + 49) = 2c² - 28c + 98

Step 3: Combine like terms from both parts of the expression. (3c + 3 - 2c² - 2c) + (2c² - 28c + 98) = 3c + 3 - 2c² - 2c + 2c² - 28c + 98 = 3c - 2c + 2c² - 2c² - 28c + 98 + 3 = -27c + 101

Therefore, the simplified expression is -27c + 101.