Respuesta :

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]