Question

Multiply the expressions. $$[a-(b+1)][a+(b+1)]$$

Name: Problem 68, Chapter 4: Intermediate Algebra
Uploaded: 2020-06-25T11:59:35-08:00
Duration: 52 s
Channel: Ankit Gupta
Description: Multiply the expressions. [a-(b+1)][a+(b+1)]

   Multiply the expressions.
$$[a-(b+1)][a+(b+1)]$$

Intermediate Algebra

Julie Miller, Molly… 5th Edition

Chapter 4, Problem 68

Instant Answer

Solved by Expert Ankit Gupta

06/25/2020

Step 1

The formula for the difference of squares is $a^2 - b^2$. Show more…

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Multiply the expressions. $$[a-(b+1)][a+(b+1)]$$

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Key Concepts

Difference of Squares

This concept involves recognizing and applying the identity (x - y)(x + y) = x² - y². It is used to simplify the multiplication of two binomials where one binomial is the sum and the other is the difference of the same two terms, allowing for a quick and straightforward expansion of the expression.

Binomial Expansion

This key concept involves the process of expanding expressions that consist of two terms. In this context, it is used to further expand the squared binomial that emerges from applying the difference of squares identity, ensuring that each term is properly multiplied out and like terms are combined as needed.

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