Question

Simplify: 5a² - 2b² - c² - 3a² + 3b² + 2c².

a) 2a² + b² - c²
b) 2a² - b² + c²
c) 2a² - b² - c²
d) 2a² + b² + c²

Answer 1

To simplify 5a² - 2b² - c² - 3a² + 3b² + 2c², combine like terms to get 2a² + b² + c². The correct option is d) 2a² + b² + c².

Step-by-step explanation:

To simplify the expression 5a² - 2b² - c² - 3a² + 3b² + 2c², we need to combine like terms. The like terms are those that have the same variable raised to the same power.

• Combine the a² terms: 5a² - 3a² to get 2a².
• Combine the b² terms: -2b² + 3b² to get 1b² or simply b².
• Combine the c² terms: -c² + 2c² to get 1c² or simply c².

So, after simplifying, the expression becomes 2a² + b² + c².

Therefore, the correct answer is d) 2a² + b² + c².