Question

Find the product. $$ (2 a-7)(2 a+7) $$

   Find the product.
$$
(2 a-7)(2 a+7)
$$

Algebra 1: Concepts and Skills

Algebra 1: Concepts and Skills

Ron Larson, Laurie… 1st Edition

Chapter 10, Problem 66

Instant Answer

Solved by Expert Zach Steedman

04/26/2020

Step 1

This gives us $4a^2$. Show more…

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Find the product. $$ (2 a-7)(2 a+7) $$

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Key Concepts

Difference of Squares

This algebraic identity states that for any two expressions, the product of their sum and difference results in the difference of their squares. It simplifies multiplication by transforming expressions of the form (x - y)(x + y) directly into x² - y², thereby streamlining factorization and solving equations.

Multiplying Binomials

Multiplying binomials involves using the distributive property (often remembered as the FOIL method) to expand the product of two two-term expressions. This process is a fundamental aspect of algebra, leading to simplification of expressions and solving polynomial equations.

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