Question

Factor each polynomial. $$16 b^{2}-1$$

   Factor each polynomial.
$$16 b^{2}-1$$

Algebra for College Students

Algebra for College Students

Mark Dugopolski 5th Edition

Chapter 5, Problem 50

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Solved by Expert Amy Jiang

04/20/2020

Step 1

The difference of squares formula is $a^2 - b^2 = (a+b)(a-b)$. Show more…

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Factor each polynomial. $$16 b^{2}-1$$

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Key Concepts

Difference of Squares

The difference of squares is a specific factoring pattern where an expression of the form A² - B² can be rewritten as (A - B)(A + B). Recognizing when an expression fits this pattern allows for quick factorization, simplifying the expression and providing insight into its structure.

Polynomial Factoring

Polynomial factoring is the process of rewriting a polynomial as a product of lower-degree polynomials. This technique is fundamental in algebra for simplifying expressions, solving polynomial equations, and understanding polynomial functions by breaking them down into their constituent factors.

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