What is the simplified form of the following expression? 2x^2y + 3x^2 + 4y + 3x^2y + 2y
Combine like terms.
5x^2y + 3x^2 + 6y
To simplify the given expression, we need to combine the like terms. Like terms are terms that have the same variables and the same exponents.
Given expression: 2x^2y + 3x^2 + 4y + 3x^2y + 2y
Combining the like terms gives us:
(2x^2y + 3x^2y) + (3x^2) + (4y + 2y)
5x^2y + 3x^2 + 6y
Therefore, the simplified form of the given expression is 5x^2y + 3x^2 + 6y.
To simplify the given expression 2x^2y + 3x^2 + 4y + 3x^2y + 2y, we can group like terms together.
First, we can combine the terms that have the same variable and exponent:
2x^2y + 3x^2y = (2 + 3)x^2y = 5x^2y
Next, we can combine the terms that have the same variable without an exponent:
4y + 2y = (4 + 2)y = 6y
Finally, we add the remaining term, which is 3x^2, since it does not have any like terms to combine with.
Putting it all together, the simplified form of the expression is:
5x^2y + 6y + 3x^2