The question can be interpreted as follow:
[tex](4x^2+x-5)-(5x^2-1)[/tex]Step 1: Open parentheses
[tex]\begin{gathered} 4x^2+x-5-5x^2-(-1) \\ 4x^2+x-5-5x^2+1 \end{gathered}[/tex]Step 2: Group the terms by grouping similar terms
[tex]4x^2-5x^2+x-5+1[/tex]Step 3: simplify the expression
[tex]-x^2+x-4[/tex]Therefore the answer is
-x^2 + x - 4
The correct answer is option C