Answer
$-p^2+4p-4$.
Work Step by Step
The given polynomial is
$=(-2p+4)-(p^2-6p+8)$
Clear the parentheses.
$=-2p+4-p^2+6p-8$
Group like terms.
$=-p^2+6p-2p-8+4$
Combine like terms.
$=-p^2+4p-4$.
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