Given the expression:
[tex]\mleft(5x^2-2x+3\mright)+\mleft(-6x^2+4x-7\mright)[/tex]To simplify the expression, we will combine the like terms
so,
[tex]\begin{gathered} \mleft(5x^2-2x+3\mright)+\mleft(-6x^2+4x-7\mright) \\ =(5x^2-6x^2)+(-2x+4x)+(3-7) \\ \\ =-x^2+2x-4 \end{gathered}[/tex]So, the answer will be:
[tex]-x^2+2x-4[/tex]