How do you factor completely: $x^2 – 25$ ?

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Answer 1 · 2015-07-13T08:26:40

$= color(blue)((x+5)(x-5)$

$color(blue)(a^2-b^2) = (a+b)(a-b)$

Applying the above property to the expression
$x^2-25$ where $x=color(blue)(a) and 5=color(blue)(b$

$x^2-25 =color(blue)( x^2-5^2$
$= color(blue)((x+5)(x-5)$

How do you factor completely: x^2 – 25x^2 – 25?