Respuesta :

Answer:

[tex]\bold{w^2-4w+16}[/tex]

Step-by-step explanation:

Rewrite Equation

[tex]\bold{\frac{w^3+64}{4+w}}[/tex]

Factor [tex]\bold{w^3+64}[/tex]

[tex]\bold{\left(w+4\right)\left(w^2-4w+16\right)}[/tex]

Rewrite Equation

[tex]\bold{\frac{\left(w+4\right)\left(w^2-4w+16\right)}{4+w}}[/tex]

Cancel The Common Factor: [tex]\bold{w+4}[/tex]

[tex]\bold{w^2-4w+16}[/tex]