Precalculus Examples

x^{2} - 49

$x^{2} - 49$

Step 1

Rewrite

49

$49$ as

7^{2}

$7^{2}$ .

x^{2} - 7^{2}

$x^{2} - 7^{2}$

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 = 7

$b = 7$ .

(x + 7) (x - 7)

$(x + 7) (x - 7)$

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

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