Precalculus Examples

$y^{2} - 2 y$

Step 1

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

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Step 1.1

Cancel the common factor of $2$ .

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Step 1.1.1

Cancel the common factor.

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

Step 1.1.2

Rewrite the expression.

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

Step 1.2

Simplify the expression.

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Step 1.2.1

Multiply $- 1$ by $1$ .

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

Step 1.2.2

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

$1$

Step 2

Add $1$ to get the perfect square trinomial.

$y^{2} - 2 y + 1$