Algebra Examples

$z^{2} - 2 z + c$

Step 1

Move $- 2 z$ .

$z^{2} + c - 2 z$

Step 2

To find the $c$ value $c = {(\frac{b}{2})}^{2}$ , divide the coefficient of $z$ by $2$ and square the result.

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Step 2.1

Cancel the common factor of $2$ .

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Step 2.1.1

Cancel the common factor.

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

Step 2.1.2

Rewrite the expression.

${(- 1 \cdot 1)}^{2}$

Step 2.2

Simplify the expression.

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Step 2.2.1

Multiply $- 1$ by $1$ .

${(- 1)}^{2}$

Step 2.2.2

Raise $- 1$ to the power of $2$ .

$1$