## Simplifying Algebraic Expressions: (m^2 - 2mn + n^2) + (-2m^2 + mn)

In algebra, simplifying expressions involves combining like terms to make the expression easier to understand and work with. Let's simplify the following expression:

**(m^2 - 2mn + n^2) + (-2m^2 + mn)**

**Step 1: Identify Like Terms**

Like terms are terms that have the same variables raised to the same powers. In this expression, we have:

**m^2 terms:**m^2 and -2m^2**mn terms:**-2mn and mn**n^2 term:**n^2

**Step 2: Combine Like Terms**

We can combine the coefficients of each like term:

**m^2 terms:**m^2 - 2m^2 = -m^2**mn terms:**-2mn + mn = -mn**n^2 term:**n^2 remains the same

**Step 3: Write the Simplified Expression**

Putting it all together, the simplified expression is:

**-m^2 - mn + n^2**

**Therefore, (m^2 - 2mn + n^2) + (-2m^2 + mn) simplifies to -m^2 - mn + n^2.**