How do you factor the expression $3x^3-27x$ ?

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Answer 1 · 2018-03-19T19:20:00

See a solution process below:

First, we can rewrite and factor as $x3$ out of this expression as:

$(3x * x^2) - (3x * 9) =>$

$3x(x^2 - 9)$

Now we can use this formula for the special case of this quadratic to complete the factoring:

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

$3x(x^2 - 9) =>$

$3x(color(red)(x)^2 - color(blue)(3)^2) =>$

$3x(color(red)(x) + color(blue)(3))(color(red)(x) - color(blue)(3))$

How do you factor the expression 3x^3-27x3x^3-27x?