Expand the following, $(a + b)^{3} =$

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Solution

${(a + b)}^{3} =^{3} C_{0} a^{3} b^{0} +^{3} C_{1} a^{2} b^{1} +^{3} C_{2} a b^{2} +^{3} C_{3} a^{0} b^{3}$
$= a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}$
$= a^{3} + b^{3} + 3 a^{2} b + 3 a b^{2}$

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