Find: (6m5 + 3 – m3 – 4m) – (–m5 + 2m3 – 4m + 6) Write subtraction of a polynomial expression as addition of the additive invers
e. (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. m5 – m3 + m – 3
2 answers:
Answer:
7m^5-3m^3+0m-3
Step-by-step explanation:
Given expression as

Now we can multiply negative sign inside the second bracket. So sign of terms of second bracket will change.

Now we can write each term as

Now we can combine each term as
![[6m^5 + m^5] + [3 +(-6) ] +[(-m^3) + (-2m^3)] + [(-4m)+ 4m]](https://tex.z-dn.net/?f=%5B6m%5E5%20%2B%20m%5E5%5D%20%2B%20%5B3%20%2B%28-6%29%20%5D%20%2B%5B%28-m%5E3%29%20%2B%20%28-2m%5E3%29%5D%20%2B%20%5B%28-4m%29%2B%204m%5D%20)

Now we can write it as
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Hope this helps! :)