Simplifying the expression 5y^2 + 3y - 2y^2 + 4y results in which of the following forms?

• A. 2y^2 + 7y
• B. 3y^2 + 7y
• C. 7y^2 + 3y
• D. 4y^2 + 6y

Answer: (B)

To simplify the expression (5y^2 + 3y - 2y^2 + 4y), you begin by identifying and combining the like terms.

First, group the (y^2) terms together:

• The (y^2) terms in the expression are (5y^2) and (-2y^2). When you combine these, you perform the operation:

[

5y^2 - 2y^2 = 3y^2

]

Next, group the (y) terms together:

• The (y) terms are (3y) and (4y). When combining these, you add them together:

[

3y + 4y = 7y

]

Putting both results together, we find that the simplified expression is:

[

3y^2 + 7y

]

The correct answer captures this final result, making it clear that simplifying the expression involves carefully adding the coefficients of like terms. This method of combining (y^2) terms and linear (y) terms leads directly to the simplified form accurately reflected in the answer provided