How do you factor $9 x^{2} - 25$ $9x^2 - 25$ ?

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Answer 1 · 2015-05-24T03:36:46

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

$9 x^{2} - 25 = {(3 x)}^{2} - {(5)}^{2}$ $9x^2 - 25 = (3x)^2 - (5)^2$

${(3 x)}^{2} - {(5)}^{2} = (3 x + 5) (3 x - 5)$ $(3x)^2 - (5)^2 = color(blue)((3x+5)(3x-5)$

How do you factor 9x2−259x^2 - 25?