Q. 216E In the following exercises, expa... [FREE SOLUTION]

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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 12: Q. 216E (page 1213)

In the following exercises, expand each binomial.
$(a + b)^{6}$

Short Answer

Expert verified

Expansion is $a^{6} + 6 a^{5} b + 15 a^{4} b^{2} + 20 a^{3} b^{3} + 15 a^{2} b^{4} + 6 a b^{5} + b^{6}$

Step by step solution

Step 1. Given Information

Expand $(a + b)^{6}$

Step 2. Solution

We have

$(a + b)^{6} = (\begin{matrix} 6 \\ 0 \end{matrix}) a^{6 - 0} b^{6 - 6} + (\begin{matrix} 6 \\ 1 \end{matrix}) a^{6 - 1} b^{6 - 5} + (\begin{matrix} 6 \\ 2 \end{matrix}) a^{6 - 2} b^{6 - 4} + (\begin{matrix} 6 \\ 3 \end{matrix}) a^{6 - 3} b^{6 - 3} + (\begin{matrix} 6 \\ 4 \end{matrix}) a^{6 - 4} b^{6 - 2} + (\begin{matrix} 6 \\ 5 \end{matrix}) a^{6 - 5} b^{6 - 1} + (\begin{matrix} 6 \\ 6 \end{matrix}) a^{6 - 6} b^{6 - 0} = a^{6} + 6 a^{5} b + 15 a^{4} b^{2} + 20 a^{3} b^{3} + 15 a^{2} b^{4} + 6 a b^{5} + b^{6}$

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91影视

In the following exercises, expand each binomial.
$(a + b)^{6}$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Solution

One App. One Place for Learning.

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91影视

In the following exercises, expand each binomial.(a+b)6

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Solution

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Theoretical and Mathematical Physics

Probability and Statistics

Geometry

Discrete Mathematics

Statistics

Study anywhere. Anytime. Across all devices.

In the following exercises, expand each binomial.
$(a + b)^{6}$