What are the steps in solving this problem

4x^6+32x^3

= 4x^3 (x^3 + 8)

= 4x^3 (x + 2)(x^2 - 2x + 4)

.. 4x^6 + 32x^3
= 4x^3 ( x^3 + 8 )
= 4x^3 ( x^3 + 2^3 )
= 4x^3 ( x + 2 ) ( x^2 - 2x + 2^2 )
= 4x^3 ( x + 2 ) ( x^2 - 2x + 4 )
= 4x^3 ( x + 2 ) ( x -1 - √3 i ) ( x -1 + √3 i )

remove the common factors

4x^3(x^3+8)