Respuesta :

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 4x^3+8x^2-96x = 4x(x-4)(x+6) 

Explanation: 

4x^3, 8x^2 and 96x have 4x as a common factor. Hence 

4x^3+8x^2-96x = 4x*(x^2+2x-24) 

Furthermore, (x^2+2x-24)= (x-4)(x+6) 
because 6-4=2 and 6*(-4) = -24. 
So 4x^3+8x^2-96x = 4x*(x^2+2x-24) = 4x(x-4)(x+6).