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Factor the difference of squares. $$16 y^{2}-z^{2}$$

   Factor the difference of squares.
$$16 y^{2}-z^{2}$$

College Algebra

College Algebra

James Stewart,… 7th Edition

Chapter 0, Problem 27

Instant Answer

Solved by Expert Ankit Gupta

07/27/2020

Step 1

The general form of a difference of squares is \(a^2 - b^2\). Show more…

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Factor the difference of squares. $$16 y^{2}-z^{2}$$

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Key Concepts

Difference of Squares

The difference of squares is an algebraic pattern where an expression can be written as A² - B². It factors into (A - B)(A + B), making it a useful tool for simplifying expressions and solving equations.

Factoring

Factoring is the process of breaking down complex expressions into simpler multiplicative components. Recognizing common patterns like the difference of squares is essential in algebra to simplify expressions and solve equations efficiently.

Algebraic Identities

Algebraic identities are well-established formulas that hold true for all values of the variables involved. Understanding these, such as the difference of squares identity, provides a strong foundation for manipulating and solving algebraic expressions.

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