To simplify the expression x^2 - 3yx + 2yx^2 - 2xy + yx, we need to combine the like terms.
First, let's identify the like terms. In this case, the like terms are the terms that have the same variables raised to the same powers.
We have three terms that contain the variables y and x: -3yx, 2yx^2, and yx.
To simplify, we can add or subtract the coefficients (the numbers in front of the variables) of these like terms while keeping the variables the same.
The coefficients of the yx terms are:
-3 (from -3yx)
2 (from 2yx^2)
1 (from yx)
Adding them together, we get -3 + 2 + 1 = 0.
Therefore, the simplified expression is x^2 - 2xy.
The yx terms cancel each other out when combined because their total coefficient is zero.