What do you get when you combine the like terms 4x² + 2x²?

What do you get when you combine the like terms 4x² + 2x²?

• A. 6x²
• B. 8x²
• C. 4x
• D. 2x

Answer: (A)

When combining the like terms 4x² and 2x², you focus on the coefficients of the like terms, which are the numerical parts in front of the variable. Both terms share the same variable part, x², making them like terms. To combine them, simply add their coefficients: 4 (from 4x²) + 2 (from 2x²) gives you 6. Thus, you obtain 6x². This result signifies that you've effectively grouped identical terms, which is key in algebraic simplification. The correct result captures both the combined coefficient and the preserved variable term, which is essential in maintaining the integrity of the expression.

When combining the like terms 4x² and 2x², you focus on the coefficients of the like terms, which are the numerical parts in front of the variable. Both terms share the same variable part, x², making them like terms.

To combine them, simply add their coefficients:

4 (from 4x²) + 2 (from 2x²) gives you 6.

Thus, you obtain 6x². This result signifies that you've effectively grouped identical terms, which is key in algebraic simplification. The correct result captures both the combined coefficient and the preserved variable term, which is essential in maintaining the integrity of the expression.