Book edition Student Edition

Author(s) Carter, Cuevas, Day, Holiday, Luchin

Pages 801 pages

ISBN 9780078884801

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Short Answer

Find each product.
${(3 x - 2 y)}^{2}$

$9 x^{2} - 12 x y + 4 y^{2}$

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Write a pattern of square of a difference.

The square of $x - y$ is the square of x minus twice the product of x and y plus square of y, that is,

width="158" height="48" role="math" style="max-width: none; vertical-align: -25px;" localid="1647752100488" ${(x - y)}^{2} = (x - y) (x - y) = x^{2} - 2 x y + y^{2}$

Step 2. Apply pattern of square of difference.

Apply the pattern of square of difference to the given expression.

${(3 x)}^{2} - 2 \cdot (3 x) \cdot (2 y) + {(2 y)}^{2}$

Step 3. Simplify.

Simplify the above obtained expression.

$3^{2} x^{2} - 2 \cdot 3 \cdot 2 \cdot x \cdot y + 2^{2} y^{2} = 9 x^{2} - 12 x y + 4 y^{2}$

Therefore, the product of ${(3 x - 2 y)}^{2}$ is $9 x^{2} - 12 x y + 4 y^{2}$ .

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Algebra 1

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Short Answer

Find each product.
${(3 x - 2 y)}^{2}$

Step by Step Solution

Step 1. Write a pattern of square of a difference.

Step 2. Apply pattern of square of difference.

Step 3. Simplify.

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Algebra 1

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Find each product.3x−2y2

Step by Step Solution

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Find each product.
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