Answer :
To find the sum of [tex]\(3x^6 + 8x^6\)[/tex], we should first note that these two terms are like terms because they have the same variable raised to the same exponent.
Let's add these terms:
1. Identify the coefficients and the common base:
- The terms are [tex]\(3x^6\)[/tex] and [tex]\(8x^6\)[/tex].
- Both terms have [tex]\(x^6\)[/tex] as a common factor.
2. Add the coefficients:
- The coefficient of the first term is 3.
- The coefficient of the second term is 8.
- Add the coefficients: [tex]\(3 + 8 = 11\)[/tex].
3. Combine the terms:
- The result is [tex]\(11x^6\)[/tex].
So, [tex]\(3x^6 + 8x^6 = 11x^6\)[/tex].
Looking at the options given:
- [tex]\(24x^6\)[/tex]: This is not the result of the addition.
- [tex]\(11x^{12}\)[/tex]: This is incorrect because the exponent should not change when adding terms.
- [tex]\(11x^6\)[/tex]: This matches the result.
- [tex]\(-5x^6\)[/tex]: This does not match the result either.
Therefore, the correct answer is [tex]\(11x^6\)[/tex].
Let's add these terms:
1. Identify the coefficients and the common base:
- The terms are [tex]\(3x^6\)[/tex] and [tex]\(8x^6\)[/tex].
- Both terms have [tex]\(x^6\)[/tex] as a common factor.
2. Add the coefficients:
- The coefficient of the first term is 3.
- The coefficient of the second term is 8.
- Add the coefficients: [tex]\(3 + 8 = 11\)[/tex].
3. Combine the terms:
- The result is [tex]\(11x^6\)[/tex].
So, [tex]\(3x^6 + 8x^6 = 11x^6\)[/tex].
Looking at the options given:
- [tex]\(24x^6\)[/tex]: This is not the result of the addition.
- [tex]\(11x^{12}\)[/tex]: This is incorrect because the exponent should not change when adding terms.
- [tex]\(11x^6\)[/tex]: This matches the result.
- [tex]\(-5x^6\)[/tex]: This does not match the result either.
Therefore, the correct answer is [tex]\(11x^6\)[/tex].
