Find the Product (-1/2)*(m^2+2n-p)

$(- \frac{1}{2}) \cdot (m^{2} + 2 n - p)$

Apply the distributive property.

$- \frac{1}{2} m^{2} - \frac{1}{2} (2 n) - \frac{1}{2} (- p)$

Simplify.

Combine $m^{2}$ and $\frac{1}{2}$ .

$- \frac{m^{2}}{2} - \frac{1}{2} (2 n) - \frac{1}{2} (- p)$

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{1}{2}$ into the numerator.

$- \frac{m^{2}}{2} + \frac{- 1}{2} (2 n) - \frac{1}{2} (- p)$

Factor $2$ out of $2 n$ .

$- \frac{m^{2}}{2} + \frac{- 1}{2} (2 (n)) - \frac{1}{2} (- p)$

Cancel the common factor.

$- \frac{m^{2}}{2} + \frac{- 1}{2} (2 n) - \frac{1}{2} (- p)$

Rewrite the expression.

$- \frac{m^{2}}{2} - 1 n - \frac{1}{2} (- p)$

Multiply $- \frac{1}{2} (- p)$ .

Multiply $- 1$ by $- 1$ .

$- \frac{m^{2}}{2} - 1 n + 1 (\frac{1}{2}) p$

Multiply $\frac{1}{2}$ by $1$ .

$- \frac{m^{2}}{2} - 1 n + \frac{1}{2} p$

Combine $\frac{1}{2}$ and $p$ .

$- \frac{m^{2}}{2} - 1 n + \frac{p}{2}$

Rewrite $- 1 n$ as $- n$ .

$- \frac{m^{2}}{2} - n + \frac{p}{2}$