Linear Algebra Examples

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

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Apply the product rule to $\frac{1}{2}$ .

$- 2 \frac{1^{2}}{2^{2}} + \frac{1}{2}$

Step 1.2

One to any power is one.

$- 2 \frac{1}{2^{2}} + \frac{1}{2}$

Step 1.3

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

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

Step 1.4

Cancel the common factor of $2$ .

Tap for more steps...

Step 1.4.1

Factor $2$ out of $- 2$ .

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

Step 1.4.2

Factor $2$ out of $4$ .

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

Step 1.4.3

Cancel the common factor.

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

Step 1.4.4

Rewrite the expression.

$- 1 (\frac{1}{2}) + \frac{1}{2}$

Step 1.5

Rewrite $- 1 (\frac{1}{2})$ as $- (\frac{1}{2})$ .

$- \frac{1}{2} + \frac{1}{2}$

Step 2

Combine fractions.

Tap for more steps...

Step 2.1

Combine the numerators over the common denominator.

$\frac{- 1 + 1}{2}$

Step 2.2

Simplify the expression.

Tap for more steps...

Step 2.2.1

Add $- 1$ and $1$ .

$\frac{0}{2}$

Step 2.2.2

Divide $0$ by $2$ .

$0$