How do you factor $25 x^{2} - 100$ $25x^2 - 100$ ?

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Answer 1 · 2015-05-23T10:15:30

$25 x^{2} - 100$ $25x^2 - 100$
We know that $a^{2} - b^{2} = (a + b) (a - b)$ $color(green)(a^2 - b^2 = (a+b)(a-b)$

$25 x^{2} - 100 = {(5 x)}^{2} - {(10)}^{2}$ $25x^2 - 100 = (5x)^2 - (10)^2$

${(5 x)}^{2} - {(10)}^{2} = (5 x + 10) (5 x - 10)$ $(5x)^2 - (10)^2 = color(green)((5x+10)(5x-10)$ , is the factorised form.

How do you factor 25x2−10025x^2 - 100?