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.
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.