Ответ:
[tex]s^3+3s^2t+3st^2+t^3[/tex]
Решение:
[tex](s+t)^3=(s+t)(s+t)^2=(s+t)(s^2+2st+t^2)=\\\\=s*s^2+s*2st+s*t^2+t*s^2+t*2st+t*t^2=\\\\=s^3+2s^2t+st^2+s^2t+2st^2+t^3=\\\\=s^3+3s^2t+3st^2+t^3[/tex]
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Ответ:
[tex]s^3+3s^2t+3st^2+t^3[/tex]
Решение:
[tex](s+t)^3=(s+t)(s+t)^2=(s+t)(s^2+2st+t^2)=\\\\=s*s^2+s*2st+s*t^2+t*s^2+t*2st+t*t^2=\\\\=s^3+2s^2t+st^2+s^2t+2st^2+t^3=\\\\=s^3+3s^2t+3st^2+t^3[/tex]