Algebra Examples

$4 - \frac{1}{2} {(4)}^{2}$

Step 1

Simplify each term.

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Step 1.1

Raise $4$ to the power of $2$ .

$4 - \frac{1}{2} \cdot 16$

Step 1.2

Cancel the common factor of $2$ .

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Step 1.2.1

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

$4 + \frac{- 1}{2} \cdot 16$

Step 1.2.2

Factor $2$ out of $16$ .

$4 + \frac{- 1}{2} \cdot (2 (8))$

Step 1.2.3

Cancel the common factor.

$4 + \frac{- 1}{2} \cdot (2 \cdot 8)$

Step 1.2.4

Rewrite the expression.

$4 - 1 \cdot 8$

Step 1.3

Multiply $- 1$ by $8$ .

$4 - 8$

Step 2

Subtract $8$ from $4$ .

$- 4$