[tex]-2w^2-5w+1[/tex]
1) Since we need to simplify this polynomial expression, we need to do it step by step:
[tex]\begin{gathered} (-7w^2-2w-1)-(-5w^2+3w-2)\:Remove\:the\:Parentheses \\ -7w^2-2w-1-\left(-5w^2+3w-2\right) \\ -7w^2-2w-1+5w^2-3w+2\:Combine\:like\:terms,and\:numbers \\ -2w^2-5w+1 \\ \end{gathered}[/tex]
2) Thus the answer is -2w²-5w+1
