# How do you combine like terms in (2w ^ { 2} - 5w - 7) - ( 4w ^ { 2} + 8+ 3w )?

Like terms have the same variable power (so the ${w}^{2}$ terms combine, the $w$ terms combine, and the terms without any $w$s combine).
$\left(2 {w}^{2} - 5 w - 7\right) - \left(4 {w}^{2} + 8 + 3 w\right)$
$= 2 {w}^{2} - 5 w - 7 - 4 {w}^{2} - 8 - 3 w$
$= - 2 {w}^{2} - 8 w - 15$