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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. 214E (page 1213)

In the following exercises, expand each binomial.
$(x + y)^{3}$

Short Answer

Expert verified

Expansion is $x^{3} + 3 x^{2} y + 3 x y^{2} + y^{3}$

Step by step solution

Step 1. Given Information

Expand $(x + y)^{3}$

Step 2. Solution

We have

$(x + y)^{3} = (\begin{array}{l} 3 \\ 0 \end{array}) x^{3 - 0} y^{3 - 3} + (\begin{array}{l} 3 \\ 1 \end{array}) x^{3 - 1} y^{3 - 2} + (\begin{array}{l} 3 \\ 2 \end{array}) x^{3 - 2} y^{3 - 1} + (\begin{array}{l} 3 \\ 3 \end{array}) x^{3 - 3} y^{3 - 0} = x^{3} + 3 x^{2} y + 3 x y^{2} + y^{3}$

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In the following exercises, expand each binomial.(x+y)3

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Solution

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In the following exercises, expand each binomial.
$(x + y)^{3}$