Respuesta :

Given polynomial,

[tex]p(x)=(x+4)^4[/tex]

Simplyfing,

[tex]p(x)=((x+4)^{^2})^2=(x^2+8x+16)^2[/tex]

Furthur simplyfing,

[tex]p(x)=x^4+64x^2+256+16x^3+256x+32x^2=x^4+16x^3+96x^2+256x+256[/tex]

Thus the simplified polynomial is

[tex]p(x)=x^4+16x^3_{}+96x^2+256x+256[/tex]