Evaluate 4(1/2)^2-4(1/2)+1

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

Step 1

Simplify each term.

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

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

One to any power is one.

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

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

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

Cancel the common factor of $4$ .

Cancel the common factor.

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

Rewrite the expression.

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

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

Cancel the common factor of $2$ .

Factor $2$ out of $- 4$ .

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

Cancel the common factor.

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

Rewrite the expression.

$1 - 2 + 1$

$1 - 2 + 1$

$1 - 2 + 1$

Step 2

Simplify by adding and subtracting.

Subtract $2$ from $1$ .

$- 1 + 1$

Add $- 1$ and $1$ .

$0$

$0$

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