Simplify (8-p^2+5p)+(p^2-15-4p)

$(8 - p^{2} + 5 p) + (p^{2} - 15 - 4 p)$

Remove parentheses.

$8 - p^{2} + 5 p + p^{2} - 15 - 4 p$

Combine the opposite terms in $8 - p^{2} + 5 p + p^{2} - 15 - 4 p$ .

Add $- p^{2}$ and $p^{2}$ .

$8 + 5 p + 0 - 15 - 4 p$

Add $8 + 5 p$ and $0$ .

$8 + 5 p - 15 - 4 p$

Subtract $15$ from $8$ .

$5 p - 7 - 4 p$

Subtract $4 p$ from $5 p$ .

$p - 7$