## Simplifying the Expression (9mn-19m^4n)-(8m^2+12m^4n+9mn)

This article will guide you through simplifying the expression (9mn-19m^4n)-(8m^2+12m^4n+9mn).

### Step 1: Distribute the Negative Sign

The first step is to distribute the negative sign in front of the second set of parentheses:

(9mn - 19m^4n) **-** (8m^2 + 12m^4n + 9mn) = 9mn - 19m^4n - 8m^2 - 12m^4n - 9mn

### Step 2: Combine Like Terms

Now, we need to combine the terms that have the same variables and exponents:

**m^4n terms:**-19m^4n - 12m^4n = -31m^4n**mn terms:**9mn - 9mn = 0**m^2 terms:**-8m^2

### Step 3: Write the Simplified Expression

Finally, we can write the simplified expression:

-31m^4n - 8m^2

**Therefore, the simplified form of (9mn-19m^4n)-(8m^2+12m^4n+9mn) is -31m^4n - 8m^2.**