Question

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

Answer 1

Your Answer is
7m5-3m3-3

Answer 2

Answer:
`7m^5-3m^3-3`

Explanation:

You can observe that you need to subtract the polynomial
`(6m^5 + 3 - m^3 -4m)` and the polynomial
`(-m^5 + 2m^3- 4m + 6)`.

It is important the remember the multiplication of signs:

`(+)(+)=+\\(-)(-)=+\\(+)(-)=-`

Then, the first step is to distribute the negative sign:

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

And finally you must add the like terms. Then:

`=7m^5-3m^3-3`