Final answer:
The expression x^2 + 4x + 3x^2 - 2x simplifies to 4x^2 + 2x by combining like terms. This corresponds to option B) 4x^2 + 2x.
Step-by-step explanation:
To simplify the expression x^2 + 4x + 3x^2 - 2x, we start by combining like terms. Since x^2 and 3x^2 are like terms, as are 4x and -2x, we add the coefficients of like terms together:
x^2 + 3x^2 = 4x^2 (combining like terms of x squared)
4x - 2x = 2x (combining like terms of x)
Now, we add the simplified terms together to obtain the final simplified expression:
4x^2 + 2x (adding the simplified terms together)
Therefore, the expression simplifies to 4x^2 + 2x, which corresponds to option B).