Simplify the expression by combining like terms: -3c+ c² - 2 + c² + 5c +3

Question : Simplify the expression by combining like terms: -3c+ c² - 2 + c² + 5c +3

Answer : The simplified expression by combining like terms: -3c+ c² - 2 + c² + 5c +3 is 2c² + 2c +1

-3c + c² - 2 + c² + 5c +3 To simplify this expression, we need to combine like terms. "Like terms" are terms that have the same variable raised to the same power. In this expression, we have two terms that are like terms: c² and c². So we will combine them first. c² + c² = 2c² Now we have: 2c² - 2 + 5c -3c + 3 Now we have two terms that are like terms: 5c and -3c. So we will combine them next. 5c -3c = 2c So we have: 2c² + 2c - 2 +3 Finally we have the simplified expression: 2c² + 2c +1