Answer :
To solve the problem of finding the sum or difference of the expression [tex]\(2x^7 - 8x^7\)[/tex], let's go through the steps:
1. Identify the Terms: We have two terms in this expression:
- [tex]\(2x^7\)[/tex]
- [tex]\(-8x^7\)[/tex]
2. Focus on the Coefficients: Since the powers of [tex]\(x\)[/tex] are the same in both terms ([tex]\(x^7\)[/tex]), we only need to deal with the coefficients of these terms.
- The coefficient of the first term is 2.
- The coefficient of the second term is -8.
3. Perform the Operation: Since we are subtracting, we subtract the second coefficient from the first coefficient:
[tex]\[
2 - 8 = -6
\][/tex]
4. Combine the Result with the Common Power of x: Since the power of [tex]\(x\)[/tex] remains the same (which is 7), we attach it to the resulting coefficient:
- The resulting expression is [tex]\(-6x^7\)[/tex].
So, the answer to the problem [tex]\(2x^7 - 8x^7\)[/tex] is [tex]\(-6x^7\)[/tex]. Therefore, the correct choice from the given options is:
c) [tex]\(-6x^7\)[/tex]
1. Identify the Terms: We have two terms in this expression:
- [tex]\(2x^7\)[/tex]
- [tex]\(-8x^7\)[/tex]
2. Focus on the Coefficients: Since the powers of [tex]\(x\)[/tex] are the same in both terms ([tex]\(x^7\)[/tex]), we only need to deal with the coefficients of these terms.
- The coefficient of the first term is 2.
- The coefficient of the second term is -8.
3. Perform the Operation: Since we are subtracting, we subtract the second coefficient from the first coefficient:
[tex]\[
2 - 8 = -6
\][/tex]
4. Combine the Result with the Common Power of x: Since the power of [tex]\(x\)[/tex] remains the same (which is 7), we attach it to the resulting coefficient:
- The resulting expression is [tex]\(-6x^7\)[/tex].
So, the answer to the problem [tex]\(2x^7 - 8x^7\)[/tex] is [tex]\(-6x^7\)[/tex]. Therefore, the correct choice from the given options is:
c) [tex]\(-6x^7\)[/tex]
