QuestionExpand $(u - v)^3 $Answer$\;\;\;(u - v)^3 $
$=(A - B)^3 \text{ , where } A = u \text{ and } B= v$
$=A^3 - 3A^2B + 3AB^2 - B^3 $
$=(u)^3 - 3(u)^2(v) + 3(u)(v)^2 - (v)^3 $
$= u^{3} - 3(u^{2})(v) + 3(u)(v^{2}) - v^{3} $
$= u^{3} - 3u^{2}v + 3uv^{2} - v^{3} $