Answer:
1) 2n³ - 3 - 4n⁴
2) -3 + 5n⁴ - 4n² - 13n³
3) -16n³ + 13 + 9n⁴
4) 1 + 6k - 7k² - 6k³
5) 1 + 11x + 10x³
6) 6 - 11n³ + 6n⁴ + 5n
7) -2x² + 6 + 4x³
8) -6r² + r⁴ + r - 9r³
Explanation:
Whenever you are adding terms with their corresponding degrees [or exponents], they remain the same.
1) It is straightforward addition throughout. Just remember to add their like-terms only.
2) It is straightforward subtraction throughout, however, whenever this happens, you must distribute that negative into the second set of parentheses. For instance, that 3 is REALLY a -3 because of that negative symbol.
3) It is straightforward subtraction throughout, however, in this exercise, you have 7 - -6, which is REALLY 7 + 6, and this results in 13 [you must distribute the negative to avoid confusion].
4) It is straightforward subtraction throughout PLUS a common mistake that some people will not notice. In the second set of parentheses, -1 does not have a like-term to pair up with, however, IT IS HOOKED UP TO ANOTHER NEGATIVE, so that -1 is REALLY a 1.
5) See explanation #1
6) It is straightforward subtraction throughout PLUS a common mistake that some people will not notice. In the second set of parentheses, -6n⁴ does not have a like-term to pair up with, however, IT IS HOOKED UP TO ANOTHER NEGATIVE, so that -6n⁴ is REALLY a 6n⁴.
7) It is straightforward subtraction throughout, however, in this exercise, you have 2 - -4, which is REALLY 2 + 4, and this results in 6 [you must distribute the negative to avoid confusion].
8) It is straightforward subtraction throughout, however, in this exercise, you have -r⁴ - -2r⁴, which is REALLY -r⁴ + 2r⁴, and this results in r⁴ [you must distribute the negative to avoid confusion].
If you are ever in need of assistance, do not hesitate to let me know by subscribing to my You-Tube channel [USERNAME: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.