Answer :
To add the expressions [tex]\((7x^7 + 9y)\)[/tex] and [tex]\(5x^7\)[/tex], we can follow these steps:
1. Identify Like Terms:
- Look for terms that have the same variables raised to the same power. In this case, both [tex]\(7x^7\)[/tex] and [tex]\(5x^7\)[/tex] are like terms because they both contain [tex]\(x^7\)[/tex].
- The term [tex]\(9y\)[/tex] is not a like term with the others since it contains a different variable, [tex]\(y\)[/tex].
2. Combine the Like Terms:
- Add the coefficients (the numbers in front) of the like terms together: [tex]\(7x^7 + 5x^7 = (7 + 5)x^7\)[/tex].
- This simplifies to [tex]\(12x^7\)[/tex].
3. Write the Combined Expression:
- After combining the like terms, the expression becomes [tex]\(12x^7\)[/tex].
- Since [tex]\(9y\)[/tex] is not a like term with the others, it remains unchanged.
4. Final Expression:
- Combine all the terms to form the final expression: [tex]\(12x^7 + 9y\)[/tex].
So, the sum [tex]\((7x^7 + 9y) + 5x^7\)[/tex] simplifies to [tex]\(12x^7 + 9y\)[/tex].
1. Identify Like Terms:
- Look for terms that have the same variables raised to the same power. In this case, both [tex]\(7x^7\)[/tex] and [tex]\(5x^7\)[/tex] are like terms because they both contain [tex]\(x^7\)[/tex].
- The term [tex]\(9y\)[/tex] is not a like term with the others since it contains a different variable, [tex]\(y\)[/tex].
2. Combine the Like Terms:
- Add the coefficients (the numbers in front) of the like terms together: [tex]\(7x^7 + 5x^7 = (7 + 5)x^7\)[/tex].
- This simplifies to [tex]\(12x^7\)[/tex].
3. Write the Combined Expression:
- After combining the like terms, the expression becomes [tex]\(12x^7\)[/tex].
- Since [tex]\(9y\)[/tex] is not a like term with the others, it remains unchanged.
4. Final Expression:
- Combine all the terms to form the final expression: [tex]\(12x^7 + 9y\)[/tex].
So, the sum [tex]\((7x^7 + 9y) + 5x^7\)[/tex] simplifies to [tex]\(12x^7 + 9y\)[/tex].
