501,982 views
45 votes
45 votes
What is the simplified form of the following expression?2x^2y + 3x^2 + 4y + 3x^2y + 2yA. 5x^4y^2 + 3x^2 + 6y^2B. 8x^2y + 6y^2C. 5x^2y + 3x^2 + 6yD. 14x^2y

User Fima Taf
by
2.6k points

1 Answer

22 votes
22 votes

The expression we have is:


2x^2y+3x^2+4y+3x^2y+2y

To simplify this expression we need to combine like terms.

Like terms are the ones that have the same exact variables with the same exponents.

In this case, 2x^2y and 3x^2y are like terms because they have the same variables. Thus we combine them by adding their coefficients (2+3=5) and we get:


2x^2y+3x^2y=5x^2y

This is just for those two terms, we need to do the same for the other like terms.

4y and 2y are like terms, so we combine them as follows:


4y+2y=6y

And the term 3x^2 does not have like terms in this expression, so it will go to the result as is.

to express the result, we take all of our combines like terms into one simplified expression:


2x^2y+3x^2+4y+3x^2y+2y=5x^2y+3x^2+6y

Which is option C

User Kevin Carmody
by
2.9k points