We are required to subtract -7x^2+4x+2 from x^2-3.
This is written as:
[tex](x^2-3)-(-7x^2+4x+2)[/tex]First, we open the brackets
[tex]=x^2-3+7x^2-4x-2[/tex]Next, we collect like terms and simplify:
[tex]\begin{gathered} =x^2+7x^2-4x-3-2 \\ =8x^2-4x-5 \end{gathered}[/tex]Therefore:
[tex](x^2-3)-(-7x^2+4x+2)=8x^2-4x-5[/tex]