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