How do you factor $256 x^{2} - 49$ $256x^2 - 49$ ?

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Answer 1 · 2015-05-21T16:36:51

You can find its roots and then turn them into factors:

$256 x^{2} - 49$ $256x^2-49$
$x^{2} = \frac{49}{256}$ $x^2=49/256$
$x = \sqrt{\frac{49}{256}}$ $x=sqrt(49/256)$
$x = \pm (\frac{7}{16})$ $x=+-(7/16)$

Transforming each root $x = \pm \frac{7}{16}$ $x=+-7/16$ into factors...

$16 x - 7 = 0$ $16x-7=0$ and $16 x + 7 = 0$ $16x+7=0$

So, $256 x^{2} - 49 = (16 x - 7) (16 x + 7)$ $256x^2-49=color(green)((16x-7)(16x+7))$

How do you factor 256x2−49256x^2 - 49?