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

less than a minute read Jun 16, 2024
(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.

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