Problem

$(a+b)^{2}=$

Answer

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Answer

Simplify the expansion: $(a+b)^2 = a^2 + 2ab + b^2$ \[\boxed{a^2 + 2ab + b^2}\]

Steps

Step 1 :Use the binomial theorem to expand $(a+b)^2$: $(a+b)^2 = \sum_{k=0}^2 {2 \choose k} a^{2-k} b^k$

Step 2 :Simplify the expansion: $(a+b)^2 = a^2 + 2ab + b^2$ \[\boxed{a^2 + 2ab + b^2}\]

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