Algebra Examples

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

Step 1

Apply the distributive property.

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

Step 2

Simplify.

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Step 2.1

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

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

Step 2.2

Cancel the common factor of $2$ .

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Step 2.2.1

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

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

Step 2.2.2

Factor $2$ out of $2 n$ .

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

Step 2.2.3

Cancel the common factor.

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

Step 2.2.4

Rewrite the expression.

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

Step 2.3

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

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Step 2.3.1

Multiply $- 1$ by $- 1$ .

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

Step 2.3.2

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

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

Step 2.3.3

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

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

Step 3

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

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