Algebra Examples

9 x^{2} - 64

$9 x^{2} - 64$

Step 1

Rewrite

$9 x^{2}$ as

${(3 x)}^{2}$ .

${(3 x)}^{2} - 64$

Step 2

Rewrite

$64$ as

$8^{2}$ .

${(3 x)}^{2} - 8^{2}$

Step 3

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

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

$a = 3 x$ and

$b = 8$ .

$(3 x + 8) (3 x - 8)$

$9 x^{2} - 64$

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