Explanation Given Information: The expressionis ( x + 1 ) 3 . Formula used: The square of binomial for any real numbers x and y , ( x + y ) 2 = x 2 + 2 x y + y 2 The Product rule states that for any real numbers a and b , and integers m and n , a m ⋅ a n = a m + n The Distributive property states that for any real numbers a , b , and c . a ( b + c ) = a b + a c Calculation: Consider the expression. ( x + 1 ) 3 Apply the product rule. ( x + 1 ) 3 = ( x + 1 ) ( x + 1 ) 2 For any real numbers x and y , ( x + y ) 2 = x 2 + 2 x y + y 2 Therefore, square the binomial. ( x + 1 ) 3 = ( x + 1 ) ( x 2 + 2 x + 1 ) Use the distributive property and combine like terms to simplify the expression

Beginning and Intermediate Algebra (6th Edition)

6th Edition

ISBN: 9780321969163

Author: Margaret L. Lial, John Hornsby, Terry McGinnis

Publisher: PEARSON

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Chapter 4.6, Problem 51E

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To calculate: Theproduct of (x+1)3.

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Chapter 4.6, Problem 50E

Chapter 4.6, Problem 52E

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Chapter 4 Solutions

Beginning and Intermediate Algebra (6th Edition)

Ch. 4.1 - Concept Check Decide whether each statement is...Ch. 4.1 - Concept Check Decide whether each statement is...Ch. 4.1 - Prob. 3E Ch. 4.1 - Concept Check Decide whether each statement is...Ch. 4.1 - Write each expression in exponential form. See...Ch. 4.1 - Write each expression in exponential form. See...Ch. 4.1 - Prob. 7E Ch. 4.1 - Write each expression in exponential form. See...Ch. 4.1 - Prob. 9E Ch. 4.1 - Write each expression in exponential form. See...

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