Algebra Examples

t^{2} - 1

$t^{2} - 1$

Step 1

Rewrite

1

$1$ as

1^{2}

$1^{2}$ .

t^{2} - 1^{2}

$t^{2} - 1^{2}$

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 = t

$a = t$ and

b = 1

$b = 1$ .

(t + 1) (t - 1)

$(t + 1) (t - 1)$

$t^{2} - 1$

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

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