## Algebra 2 Common Core

Published by Prentice Hall

# Chapter 11 - Probability and Statistics - Get Ready!: 8

#### Answer

$a^{5}+5a^{4}b^{}+10a^{3}b^{2}+10a^{2}b^{3}+5a^{}b^{4}+b^{5}$

#### Work Step by Step

$(a+b)^{5}$ To find the expansion of the given expression using Pascal's Triangle, use the coefficients in the 6th row, which are: $1, 5, 10, 10, 5, 1$. Use these coefficients and write descending degrees (exponents) for $a$ and ascending degrees (exponent for $b$ to obtain: $(a+b)^5=a^{5}+5a^{4}b^{}+10a^{3}b^{2}+10a^{2}b^{3}+5a^{}b^{4}+b^{5}$

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