Solve $x^{2} - 9$

Answer

(x - 3) (x + 3)

Step-by-step solution

Step 1 · Recognise the pattern
$x^{2} - 9 = x^{2} - 3^{2}$
Both terms are perfect squares separated by a minus sign.
Step 2 · Difference of squares
$(x - 3) (x + 3)$
a² − b² factors as (a − b)(a + b).

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More factoring

$x^{3} - 8$