Examples

x^{2} - 81

$x^{2} - 81$

Step 1

Rewrite

81

$81$ as

9^{2}

$9^{2}$ .

x^{2} - 9^{2}

$x^{2} - 9^{2}$

Step 2

Since both terms are perfect squares, factor using the difference of squares formula,

a^{2} - b^{2} = (a + b) (a - b)

$a^{2} - b^{2} = (a + b) (a - b)$ where

a = x

$a = x$ and

b = 9

$b = 9$ .

(x + 9) (x - 9)

$(x + 9) (x - 9)$

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

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