Question

Factor Completely:`8x^3 - 18x` ?

Answer 1

See a solution process below:

Explanation:

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

`2x(4x^2 - 9)`

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

`color(red)(x)^2 - color(blue)(y)^2 =(color(red)(x) + color(blue)(y))(color(red)(x) - color(blue)(y))`

`2x(2x + 3)(2x - 3)`