Algebra Examples

x^{2} - 12 x

$x^{2} - 12 x$

Step 1

To find the

c

$c$ value

c = {(\frac{b}{2})}^{2}

$c = {(\frac{b}{2})}^{2}$ , divide the coefficient of

x

$x$ by

2

$2$ and square the result.

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Step 1.1

Divide

12

$12$ by

2

$2$ .

{(- 1 \cdot 6)}^{2}

${(- 1 \cdot 6)}^{2}$

Step 1.2

Multiply

- 1

$- 1$ by

6

$6$ .

{(- 6)}^{2}

${(- 6)}^{2}$

Step 1.3

Raise

- 6

$- 6$ to the power of

2

$2$ .

36

$36$

36

$36$

Step 2

Add

36

$36$ to get the perfect square trinomial.

x^{2} - 12 x + 36

$x^{2} - 12 x + 36$

⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

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