Respuesta :

Answer:

[tex]- 4 x \sqrt{14 x - 2}[/tex]

Step-by-step explanation:

[tex]\frac{8 x -56 x^{2} }{\sqrt{14x - 2} }[/tex]

[tex]\frac{{(8 x -56 x^{2}) } * {\sqrt{14 x -2} }}{(\sqrt{14 x -2} )^{2} }[/tex]

cancel the square root :

[tex]\frac{{(8 x -56 x^{2}) } * {\sqrt{14 x -2} }}{{14 x -2}  }[/tex]

and  extract common factor:

[tex]\frac{{(8x) ( 1 - 7 x) } * {\sqrt{14 x -2} }}{{ -2* ( -7x +1) }  }[/tex]

I extract common factor -2 because this way I can cancel (- 7x +1 )

Then:

[tex]\frac{{8x} * {\sqrt{14 x -2} }}{{ -2 }  }[/tex]

[tex]{{-4x} * {\sqrt{14 x -2} }}[/tex]