Answer
Pascal's Triangle
$(a+b)^{4}=1a^{4}+4a^{3}b+6a^{2}b^{2}+4ab^{3}+1b^{4}$
Work Step by Step
We can find the coefficients in the expansion of $(a+b)^{n}$ from the $n$th row of ___Pascal's___ Triangle. So
$(a+b)^{4}=1a^{4}+4a^{3}b+6a^{2}b^{2}+4ab^{3}+1b^{4}$