Simplify the expression: 4x² + 2y² - 6x² + 2xy

The given expression is $4x^2 + 2y^2 - 6x^2 + 2xy$.
The like terms are those with the same variables raised to the same powers.
Here, $4x^2$ and $-6x^2$ are like terms.

Combine the $x^2$ terms:

The terms $2y^2$ and $2xy$ do not have any like terms to combine with.

Combine the result from Step 2 with the remaining terms:

It is common practice to write terms in alphabetical order or by descending power, but for this expression, any order is acceptable as long as the signs are correct.