8. Expand

(*a* + *b*)^{5}

*a*^{5} + 5*a*^{4}*b* + 10*a*^{3}*b*^{2} + 10 *a*^{2}*b*^{3} + 5*ab*^{4} +*b*^{5}

Each term has degree 5. Start with *a*5, and each successive term has one less factor of *a* and one more factor of *b* until you get to *b*^{5}. The coefficients come from the 5th row of Pascal's triangle.