Chapter 8, Sequences and Series - Section 8.6 - The Binomial Theorem - 8.6 Exercises - Page 636: 8

$(x-y)^{5}=x^{5}-5x^{4}y+10x^{3}y^{2}-10x^{2}y^{3}+5y^{4}-y^{5}$

We use the values from the 5th row of Pascal's Triangle to find the coefficients: $(x-y)^{5}=x^{5}+-5x^{4}y^1+10x^{3}y^{2}+-10x^{2}y^{3}+5x^1y^{4}+-y^{5}=x^{5}-5x^{4}y+10x^{3}y^{2}-10x^{2}y^{3}+5y^{4}-y^{5}$