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Examples

x^{2} - x + x - 1

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

Step 1

Add

- x

$- x$ and

x

$x$ .

x^{2} + 0 - 1

$x^{2} + 0 - 1$

Step 2

Add

x^{2}

$x^{2}$ and

0

$0$ .

x^{2} - 1

$x^{2} - 1$

Step 3

Rewrite

1

$1$ as

1^{2}

$1^{2}$ .

x^{2} - 1^{2}

$x^{2} - 1^{2}$

Step 4

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 = 1

$b = 1$ .

(x + 1) (x - 1)

$(x + 1) (x - 1)$

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

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