Factor Completely: $8 x^{3} - 18 x$ $8x^3 - 18x$ ?

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Answer 1 · 2018-03-17T16:45:02

See a solution process below:

First, factor out a common term of $2 x$ $2x$ giving:

$2 x (4 x^{2} - 9)$ $2x(4x^2 - 9)$

Then use this rule for quadratics to factor the term on the right:

$x^{2} - y^{2} = (x + y) (x - y)$ $color(red)(x)^2 - color(blue)(y)^2 =(color(red)(x) + color(blue)(y))(color(red)(x) - color(blue)(y))$

$2 x (2 x + 3) (2 x - 3)$ $2x(2x + 3)(2x - 3)$

Factor Completely:8x^3 - 18x8x3−18x8x^3 - 18x ?