help with the question pls pls pls pls pls pls pls pls pls pls

Answer:
when
[tex]x\ge 0[/tex]
then
[tex]x\times \left|x\right|=x^{2}[/tex]
Step-by-step explanation:
As we know that
When x is positive
[tex]\left|x\right|=\:x[/tex]
As from the question,
[tex]x\ge 0[/tex]
so the expression will be:
[tex]x\times \left|x\right|=x\times x=x^2[/tex] ∵ [tex]x\ge 0[/tex] so [tex]\left|x\right|=\:x[/tex]
Therefore,
[tex]x\times \left|x\right|=x^{2}[/tex]