Respuesta :

Answer:

[tex]s^3+3s^2t+3st^2+t^3[/tex]

Step-by-step explanation:

[tex](s+t)^3\\\\\mathrm{Apply\:Perfect\:Cube\:Formula}:\\\quad \left(a+b\right)^3=a^3+3a^2b+3ab^2+b^3\\\\a=s,\:\:b=t\\=s^3+3s^2t+3st^2+t^3[/tex]

Step-by-step explanation:

Hey there!

Here, given;

[tex]( {s + t)}^{3} [/tex]

Use formula:

[tex]( {a + b)}^{3} = {a}^{3} + 3 {a}^{2}b + 3a {b}^{2} + {b}^{3} [/tex]

Keep this formula in the question.

[tex]( {s + t)}^{ 3} = {s}^{3} + 3 {s}^{2} t + 3s {t}^{2} + {t}^{3} [/tex]

Hope it helps...