Explanation Given Information: The provided polynomials are ( a 2 − 2 a b + b 2 ) and ( a 3 + 3 a b − b 2 ) . Formula used: Steps to multiply two polynomials: Step 1: Consider the first polynomial expression as a single expression. Step 2: Multiply this expression with each term of the second polynomial using columns as follows: (a) Multiply every term at the bottom with each term at the top. (b) The like terms should be kept in one column. (c) For every missing term add spaces. Step 3: Then add the values in every column. Calculation: Consider the provided polynomials ( a 2 − 2 a b + b 2 ) and ( a 3 + 3 a b − b 2 ) . Multiply the two polynomials as follows: Multiply the polynomial ( a 2 − 2 a b + b 2 ) by − b 2 . a 2 − 2 a b + b 2 a 3 + 3 a b − b 2 − a 2 b 2 + 2 a b 3 − b 4 ¯ Multiply the polynomial ( a 2 − 2 a b + b 2 ) by 3 a b . a 2 − 2 a b + b 2 a 3 + 3 a b − b 2 − a 2 b 2 + 2 a b 3 − b 4 3 a 3 b − 6 a 2 b 2 + 3 a b 3 ¯ Multiply the polynomial ( a 2 − 2 a b + b 2 ) by a 3

13th Edition

ISBN: 9780134707365

Author: Marvin L. Bittinger, Judith A. Beecher, Barbara L. Johnson

Publisher: PEARSON

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Question

Chapter 4.2, Problem 12DE

To determine

To calculate: The product of the two polynomials (a2−2ab+b2) and (a3+3ab−b2).

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Chapter 4.2, Problem 11DE

Chapter 4.2, Problem 13DE

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Chapter 4 Solutions

Intermediate Algebra (13th Edition)

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The product of the two polynomials ( a 2 − 2 a b + b 2 ) and ( a 3 + 3 a b − b 2 ) .

Solution Summary: The author calculates the product of the two polynomials (a2-2ab+b

To calculate: The product of the two polynomials (a2−2ab+b2) and (a3+3ab−b2).

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Chapter 4 Solutions