Chapter 7: Q21. (page 463)

Find each product.
$(2 b - 5) (2 b + 5)$

Short Answer

Expert verified

The required product is represented by $4 b^{2} - 25$ .

Step by step solution

Step 1. Determine the identity of polynomial that can be used.

The provided polynomial indicates the left side of the identity $(a + b) (a - b) = a^{2} - b^{2}$ so this identity can be used.

Step 2. Take the help of obtained identity.

Substitute 2b in place of a and 5 in place of b into the right side of obtained identity.

${(2 b)}^{2} - {(5)}^{2}$

Step 3. Perform the simplification.

Write the exponential terms in simplest form

$4 b^{2} - 25$

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Find each product.
$(2 b - 5) (2 b + 5)$

Short Answer

Step by step solution

Step 1. Determine the identity of polynomial that can be used.

Step 2. Take the help of obtained identity.

Step 3. Perform the simplification.

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Find each product.(2b−5)(2b+5)

Short Answer

Step by step solution

Step 1. Determine the identity of polynomial that can be used.

Step 2. Take the help of obtained identity.

Step 3. Perform the simplification.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Calculus

Statistics

Geometry

Applied Mathematics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Find each product.
$(2 b - 5) (2 b + 5)$