High School

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Combine like terms.

[tex]9x^4 - 3x^4 = \square[/tex]

Answer :

Certainly! Let's work through this problem by combining like terms.

You have the expression:
[tex]\[ 9x^4 - 3x^4 \][/tex]

Here are the steps to simplify it:

1. Identify Like Terms: Both terms, [tex]\(9x^4\)[/tex] and [tex]\(-3x^4\)[/tex], are like terms because they both have the same variable part, [tex]\(x^4\)[/tex].

2. Combine the Coefficients: Since the terms are like terms, you can simply subtract the coefficients. The coefficients here are 9 and -3.

3. Perform the Subtraction: Subtract the second coefficient from the first:
[tex]\[ 9 - 3 = 6 \][/tex]

4. Write the Simplified Expression: Multiply the result with the common variable part, [tex]\(x^4\)[/tex]:
[tex]\[ 6x^4 \][/tex]

So, the simplified expression after combining like terms is:
[tex]\[ 6x^4 \][/tex]

This is your final answer.

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