Answer:
[tex]-9x^{5}-6x^{3}-10x^{2}+8x+2[/tex]
Step-by-step explanation:
(2x^5−6x^3−12x^2−4)+(−11x^5+8x+2x^2+6).
since its addition we can remove the parenthesis and simply list them
so
[tex]2x^{5}-6x^{3} -12x^{2}-4-11x^{5}+8x+2x^{2} +6[/tex]
Personally I order them before adding, it makes it easier for me.
so
[tex]2x^{5}-11x^{5}-6x^{3}-12x^{2}+2x^{2}+8x-4+6[/tex]
now its easier if you group them in order of having the same exponent
so
[tex](2x^{5}-11x^{5})+(-6x^{3})+(-12x^{2}+2x^{2})+(8x)+(-4+6)[/tex]
now solve whats in parenthesis. you will see when you're finished that its already ordered too.
[tex](2x^{5}-11x^{5})+(-6x^{3})+(-12x^{2}+2x^{2})+(8x)+(-4+6)[/tex]
[tex]-9x^{5}-6x^{3}-10x^{2}+8x+2[/tex]