ANSWER:
[tex]-7x^3+2x^2+10x+12[/tex]STEP-BY-STEP EXPLANATION:
We have the following expression
[tex]\mleft(2x^2+6x+7\mright)+\mleft(-7x^3+4x+5\mright)[/tex]We carry out the operation and we have:
[tex]2x^2+6x+7-7x^3\: +4x+5=-7x^3+2x^2+(6x+4x)+(7+5)=-7x^3+2x^2+10x+12[/tex]