Answer:
[tex]-2x^2-2x-3[/tex]Explanation:
Given the functions P(x) and Q(x) defined as follows:
[tex]\begin{gathered} P\mleft(x\mright)=-2x^2+3x-5 \\ Q\mleft(x\mright)=5x-2 \end{gathered}[/tex]Then:
[tex]\begin{gathered} P(x)-Q(x)=(-2x^2+3x-5)-(5x-2) \\ =-2x^2+3x-5-5x+2 \\ =-2x^2-2x-3 \end{gathered}[/tex]A simplified expression for P(x)-Q(x) is:
[tex]-2x^2-2x-3[/tex]