Answer :
To simplify the expression [tex]\(7x^6 - 4x^6\)[/tex], follow these steps:
1. Identify the Like Terms: Both terms, [tex]\(7x^6\)[/tex] and [tex]\(4x^6\)[/tex], have the same variable part, which is [tex]\(x^6\)[/tex].
2. Combine the Coefficients: Since the terms are like terms, you can combine them by subtracting the coefficients:
[tex]\[
7x^6 - 4x^6 = (7 - 4)x^6
\][/tex]
3. Simplify the Expression: Calculate the difference between the coefficients:
[tex]\[
7 - 4 = 3
\][/tex]
4. Write the Simplified Expression: After combining the coefficients, the expression simplifies to:
[tex]\[
3x^6
\][/tex]
So, the simplified form of the expression [tex]\(7x^6 - 4x^6\)[/tex] is [tex]\(3x^6\)[/tex].
1. Identify the Like Terms: Both terms, [tex]\(7x^6\)[/tex] and [tex]\(4x^6\)[/tex], have the same variable part, which is [tex]\(x^6\)[/tex].
2. Combine the Coefficients: Since the terms are like terms, you can combine them by subtracting the coefficients:
[tex]\[
7x^6 - 4x^6 = (7 - 4)x^6
\][/tex]
3. Simplify the Expression: Calculate the difference between the coefficients:
[tex]\[
7 - 4 = 3
\][/tex]
4. Write the Simplified Expression: After combining the coefficients, the expression simplifies to:
[tex]\[
3x^6
\][/tex]
So, the simplified form of the expression [tex]\(7x^6 - 4x^6\)[/tex] is [tex]\(3x^6\)[/tex].
