Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

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

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

Step 1.2

One to any power is one.

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

Step 1.3

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

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

Step 1.4

Cancel the common factor of $4$ .

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Step 1.4.1

Cancel the common factor.

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

Step 1.4.2

Rewrite the expression.

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

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

Step 1.5

Cancel the common factor of $2$ .

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Step 1.5.1

Factor $2$ out of $- 4$ .

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

Step 1.5.2

Cancel the common factor.

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

Step 1.5.3

Rewrite the expression.

$1 - 2 + 1$

$1 - 2 + 1$

$1 - 2 + 1$

Step 2

Simplify by adding and subtracting.

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Step 2.1

Subtract $2$ from $1$ .

$- 1 + 1$

Step 2.2

Add $- 1$ and $1$ .

$0$

$0$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$