Final answer:
When adding and subtracting polynomials, you should combine like terms and distribute the negative for subtraction. Do not add exponents or eliminate each term indiscriminately. Always check your answer after simplification to ensure it is reasonable.
Step-by-step explanation:
When adding and subtracting polynomials, one should:
- Combine like terms which have the same variables raised to the same power.
- Distribute the negative for subtraction across all terms of the polynomial you are subtracting.
It is important to note that you should not add exponents when combining like terms; exponents are only added when multiplying exponentiated terms together. Also, one does not eliminate each term; rather, you combine terms to simplify. After completing the process, always check the answer to ensure it is reasonable.
Common Mistakes to Avoid:
- Remember not to change exponents when combining like terms.
- Avoid eliminating terms that are not like.
- Ensure correct distribution of the negative sign in subtraction.