Expand
a^{10}+210a^{4}b^{6}+120a^{3}b^{7}+45a^{2}b^{8}+10ab^{9}+b^{10}+210b^{4}a^{6}+120b^{3}a^{7}+45b^{2}a^{8}+10ba^{9}+252\left(ab\right)^{5}
Evaluate
\left(a+b\right)^{10}
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