Algebra Examples

$a^{2} - 2 a b + b^{2}$

Step 1

To find the $c$ value $c = {(\frac{b}{2})}^{2}$ , divide the coefficient of $a$ 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.

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

Step 1.1.2

Divide $b$ by $1$ .

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

Step 1.2

Simplify the expression.

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Step 1.2.1

Apply the product rule to $- b$ .

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

Step 1.2.2

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

$1 b^{2}$

Step 1.2.3

Multiply $b^{2}$ by $1$ .

$b^{2}$

Step 2

Add $b^{2}$ and $b^{2}$ .

$a^{2} - 2 a b + 2 b^{2}$