Question

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

Answer 1

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

Step-by-step 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:

$=7m^5-3m^3-3$

Answer 2

Your Answer is
7m5-3m3-3