Which expression can be simplified further: 2y^2 - y + y^2 + 5y?

Which expression can be simplified further: 2y^2 - y + y^2 + 5y?

• A. 4y^2 + 4y
• B. 3y^2 + 4y
• C. 2y + 5y^2
• D. None of these can be simplified

Answer: (B)

To determine which expression can be simplified, we start by identifying the terms that are like terms. In the expression 2y² - y + y² + 5y, the like terms are the quadratic terms (2y² and y²) and the linear terms (-y and 5y). First, we combine the quadratic terms: 2y² + y² = 3y². Next, we combine the linear terms: -y + 5y = 4y. Now, by putting the simplified terms together, we have: 3y² + 4y. Thus, the expression 3y² + 4y is fully simplified, making B the correct choice. This option indicates the combined coefficients of the like terms clearly, showing the result of the simplification process.

To determine which expression can be simplified, we start by identifying the terms that are like terms. In the expression 2y² - y + y² + 5y, the like terms are the quadratic terms (2y² and y²) and the linear terms (-y and 5y).

First, we combine the quadratic terms:

2y² + y² = 3y².

Next, we combine the linear terms:

-y + 5y = 4y.

Now, by putting the simplified terms together, we have:

3y² + 4y.

Thus, the expression 3y² + 4y is fully simplified, making B the correct choice. This option indicates the combined coefficients of the like terms clearly, showing the result of the simplification process.