SOLUTION
We want to factorise
[tex]2x^3-200x[/tex]
This becomes
[tex]\begin{gathered} 2x^3-200x \\ =2x(x^2-100) \\ we\text{ can s}ee\text{ that the greatest co}mmon\text{ factor of }2x^3-200x\text{ is }2x \end{gathered}[/tex]
Continuing, we have
[tex]\begin{gathered} 2x(x^2-100) \\ 2x\mleft\lbrace(x-10\mright)(x+10)\} \\ \end{gathered}[/tex]
Hence the answer becomes
[tex]2x(x-10)(x+10)[/tex]
