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.   m5 – m3 + m – 3

Answer 1

7m^5-3m^3+0m-3

Explanation:

Answer 2

Given expression as

`(6m^5 +3 -m^3 -4m )-(-m^5 +2m^3 - 4m + 6)`

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


`(6m^5 + 3 - m^3 - 4m )+ (m^5 - 2m^3 + 4m - 6`

Now we can write each term as


`6m^5 + 3 + (-m^3) + (-4m) + m^5 +(-2m^3) + 4m + (-6)`

Now we can combine each term as

`[6m^5 + m^5] + [3 +(-6) ] +[(-m^3) + (-2m^3)] + [(-4m)+ 4m]`

`7m^5 +(-3)+(-3m^3)+0`

Now we can write it as

`7m^5 -3m^3 +0*m - 3`