(4n^4-8n+4)-(8n^2+4n^4+1)

Jasonbradley

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Jun 16, 2024

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Simplifying the Expression (4n^4 - 8n + 4) - (8n^2 + 4n^4 + 1)

This article will walk you through the process of simplifying the given expression: (4n^4 - 8n + 4) - (8n^2 + 4n^4 + 1)

Step 1: Distribute the Negative Sign

First, we need to distribute the negative sign in front of the second set of parentheses. This means multiplying each term inside the second parentheses by -1:

(4n^4 - 8n + 4) + (-1 * 8n^2) + (-1 * 4n^4) + (-1 * 1)

This simplifies to:

4n^4 - 8n + 4 - 8n^2 - 4n^4 - 1

Step 2: Combine Like Terms

Now we can combine the terms with the same variable and exponent.

• n^4 terms: 4n^4 - 4n^4 = 0
• n^2 terms: -8n^2
• n terms: -8n
• Constant terms: 4 - 1 = 3

Step 3: Write the Simplified Expression

Putting it all together, the simplified expression is:

-8n^2 - 8n + 3

Therefore, the simplified form of (4n^4 - 8n + 4) - (8n^2 + 4n^4 + 1) is -8n^2 - 8n + 3.