Question 150231


{{{(3r^4-2r^3+2r^2+10r-4)+(r^5+9r^3+5r^2-2r-2)+(-6r^4+r^2-6r-9)}}} Start with the given expression



{{{3r^4-2r^3+2r^2+10r-4+r^5+9r^3+5r^2-2r-2-6r^4+r^2-6r-9}}} Remove the parenthesis.



{{{(r^5)+(3r^4-6r^4)+(-2r^3+9r^3)+(2r^2+5r^2+r^2)+(10r-2r-6r)+(-4-2-9)}}} Group like terms



{{{r^5-3r^4+7r^3+8r^2+2r-15}}} Combine like terms



So {{{(3r^4-2r^3+2r^2+10r-4)+(r^5+9r^3+5r^2-2r-2)+(-6r^4+r^2-6r-9)=r^5-3r^4+7r^3+8r^2+2r-15}}}