Question

Find: (6m5 + 3 – m3 – 4m) – (–m5 + 2m3 – 4m + 6)

Write subtraction of a polynomial expression as addition of the additive inverse.
(6m5 + 3 – m3 – 4m) + (m5 – 2m3 + 4m – 6)
Rewrite terms that are subtracted as addition of the opposite.
6m5 + 3 + (–m3) + (–4m) + m5 + (–2m3) + 4m + (–6)
Group like terms.
[6m5 + m5] + [3 + (–6)] + [(–m3) + (–2m3)] + [(–4m) + 4m]
Combine like terms.
Write the resulting polynomial in standard form.

7
m5 –
3
m3 +
m – 3

Answer 1

7 m^5 - 3 m^3 + ? m-3

Answer 2

wait im a little confused
ik im not the one asking the question but can yu explain this a little? ty

Answer 3

most of the simplifying is already done in the problem. if you have any trouble understanding any of the steps before the group like terms statement, please let me know

from here:
Group like terms.
[6m^5 + m^5] + [3 + (–6)] + [(–m^3) + (–2m^3)] + [(–4m) + 4m]

you simply need to combine like terms

you have correctly stated that the final solution will be in the format

7 m^5 - 3 m^3 + ?m-3

the m^5, m^3, and constant are simplified correctly. all you need to do to figure out that "?" is to simplify [(–4m) + 4m] = ?