You can put this solution on YOUR website! I'm assuming that the question is:
Factor (4x^3-25x)/(x^2-14x+48)
4x^3-25x= x*(4x^2-25)=x*(2x+5)*(2x-5)
and
x^2-14x+48=(x-8)(x-6)
Therefore,
(4x^3-25x)/(x^2-14x+48)=x*((2x+5)*(2x-5))/((x-8)(x-6))
Good luck with your math studies.