How do you write $x^{2} - 25$ $x^2-25$ in factored form?

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Answer 1 · 2015-09-16T16:20:33

$(x + 5) (x - 5)$ $color(blue)((x+5)(x-5)$ is the factorised form of the expression.

$x^{2} - 25 = x^{2} - 5^{2}$ $x^2-25 = x^2 - 5^2$

As per identity:
$a^{2} - b^{2} = (a + b) (a - b)$ $color(blue)(a^2-b^2=(a+b)(a-b)$

The expression $x^{2} - 5^{2}$ $x^2 - 5^2$ represents the same identity.

Here:
$a = x$ $color(blue)(a=x)$
$b = 5$ $color(blue)(b=5)$

So, $x^{2} - 5^{2} = (x + 5) (x - 5)$ $x^2 - 5^2 = color(blue)((x+5)(x-5)$

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