Answer :
To add the two polynomial expressions [tex]\((8x^6 + 6y)\)[/tex] and [tex]\((-7x^6 - 7y)\)[/tex], follow these steps:
1. Write down the expressions: We start with the expressions [tex]\((8x^6 + 6y)\)[/tex] and [tex]\((-7x^6 - 7y)\)[/tex].
2. Combine like terms:
- Look at the terms involving [tex]\(x^6\)[/tex]:
- From the first expression, we have [tex]\(8x^6\)[/tex].
- From the second expression, we have [tex]\(-7x^6\)[/tex].
- Combine them: [tex]\(8x^6 + (-7x^6) = (8 - 7)x^6 = 1x^6\)[/tex].
- Look at the terms involving [tex]\(y\)[/tex]:
- From the first expression, we have [tex]\(6y\)[/tex].
- From the second expression, we have [tex]\(-7y\)[/tex].
- Combine them: [tex]\(6y + (-7y) = (6 - 7)y = -1y\)[/tex].
3. Write the simplified expression:
- After combining like terms, you get the expression [tex]\(x^6 - y\)[/tex].
So, the simplified result of adding the given polynomials is [tex]\(x^6 - y\)[/tex].
1. Write down the expressions: We start with the expressions [tex]\((8x^6 + 6y)\)[/tex] and [tex]\((-7x^6 - 7y)\)[/tex].
2. Combine like terms:
- Look at the terms involving [tex]\(x^6\)[/tex]:
- From the first expression, we have [tex]\(8x^6\)[/tex].
- From the second expression, we have [tex]\(-7x^6\)[/tex].
- Combine them: [tex]\(8x^6 + (-7x^6) = (8 - 7)x^6 = 1x^6\)[/tex].
- Look at the terms involving [tex]\(y\)[/tex]:
- From the first expression, we have [tex]\(6y\)[/tex].
- From the second expression, we have [tex]\(-7y\)[/tex].
- Combine them: [tex]\(6y + (-7y) = (6 - 7)y = -1y\)[/tex].
3. Write the simplified expression:
- After combining like terms, you get the expression [tex]\(x^6 - y\)[/tex].
So, the simplified result of adding the given polynomials is [tex]\(x^6 - y\)[/tex].
