Answer:
The factor form of the given polynomial is [tex]2x(2x-1)(2x+1)[/tex]
Step-by-step explanation:
The given expression is
[tex]8x^3-2x[/tex]
Taking out the common factor 2x.
[tex]8x^3-2x=2x(4x^2-1)[/tex]
[tex]8x^3-2x=2x((2x)^2-(1)^2)[/tex]
Using the algebraic formula:
[tex]a^2-b^2=(a-b)(a+b)[/tex]
We get,
[tex]8x^3-2x=2x(2x-1)(2x+1)[/tex]
All the factors are prime polynomial because they can not be factored further.
Therefore the factor form of the given polynomial is [tex]2x(2x-1)(2x+1)[/tex].
