How do you factor $9 x - 64 x^{3}$ $9x - 64x^3$ ?

Question

How do you factor $9 x - 64 x^{3}$ $9x - 64x^3$ ?

1 Answer

Impact of this question

1634 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-08-31T14:39:58

We have $9 x - 64 x^{3} = f (x)$ $9x - 64x^3 = f(x)$

$\Rightarrow f (x) = x (9 - 64 x^{2})$ $implies f(x) = x(9-64x^2)$
$\Rightarrow f (x) = x (3^{2} - {(8 x)}^{2})$ $implies f(x) = x(3^2 - (8x)^2)$
$\Rightarrow f (x) = x (3 + 8 x) (3 - 8 x)$ $implies f(x) = x(3 + 8x)(3 - 8x)$

And that's it.

$9 x - 64 x^{3} = x (3 + 8 x) (3 - 8 x)$ $9x - 64x^3 = x(3 + 8x)(3 - 8x)$

Science

Math

Humanities

... and beyond

How do you factor $9 x - 64 x^{3}$ $9x - 64x^3$ ?

1 Answer

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you factor 9x - 64x^39x−64x39x - 64x^3?

1 Answer

Related questions

Impact of this question

How do you factor $9 x - 64 x^{3}$ $9x - 64x^3$ ?