-(8m%5E2%2B12m%5E4n%2B9mn).jpeg "(9mn-19m^4n)-(8m^2+12m^4n+9mn)")
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.