Let's break down the expression in the image you've uploaded:

The expression is:
$x^2y - xy^2 - x^2y + xy^2 + xy^2$

We will now simplify it step by step:

1. Group like terms:

   • $x^2y$ and $-x^2y$ are like terms.
   • $-xy^2$, $xy^2$, and $xy^2$ are also like terms.

2. Combine the like terms:

   • $x^2y - x^2y = 0$
   • $-xy^2 + xy^2 + xy^2 = xy^2$

Thus, the simplified expression is:

$xy^2$

Answer:

The result of simplifying the given monomials is $xy^2$.

Do you need any further details or clarification on this process?

Related questions:

1. What are the rules for adding and subtracting like terms in algebra?
2. Can this method be applied to polynomials, or is it only for monomials?
3. How do we combine terms involving higher powers, such as $x^3y^2$ and $x^2y^3$?
4. How do I simplify a polynomial with different types of exponents?
5. Could I apply this simplification method to more complex expressions involving variables raised to powers?

Tip: Always group like terms first to simplify algebraic expressions more effectively!