Question

(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.

Answer 1

The resulting polynomial in standard form would be given as:

7m5 - 3m^3+0 m-3

Answer 2

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

(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.
7m5 - 3 - 3m3

The resulting polynomial in standard form would be given as:
7m5 - 3m3 - 3