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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]