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]