Chapter 11 - 11.5 - The Binomial Theorem - 11.5 Exercises - Page 813: 17

$(x+1)^6=x^6+6x^5+15x^4+20x^3+15x^2+6x+1$

Sixth row of Pascal's Triangle: $1~~6~~15~~20~~15~~6~~1$ $(x+1)^6=(1)x^6+(6)x^5(1)^1+(15)x^4(1)^2+(20)x^3(1)^3+(15)x^2(1)^4+(6)x^1(1)^5+(1)(1)^6$ $(x+1)^6=x^6+6x^5+15x^4+20x^3+15x^2+6x+1$