Question
Expand $(1+x)^{4}$.

Answer

$ \begin{aligned} &(1+x)^{4} \\ &={ }^{4} \mathrm{C}_{0}(1)^{4}(x)^{0}+{ }^{4} \mathrm{C}_{1}(1)^{3}(x)^{1}+{ }^{4} \mathrm{C}_{2}(1)^{2}(x)^{2}+{ }^{4} \mathrm{C}_{3}(1)^{1}(x)^{3}+{ }^{4} \mathrm{C}_{4}(1)^{0}(x)^{4} \\ &=1+4 x+6 x^{2}+4 x^{3}+x^{4} \end{aligned} $

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