Question

Find the product. $$ (6 y-4)(6 y+4) $$

   Find the product.
$$
(6 y-4)(6 y+4)
$$

Algebra 1: Concepts and Skills

Algebra 1: Concepts and Skills

Ron Larson, Laurie… 1st Edition

Chapter 12, Problem 68

Instant Answer

Solved by Expert Charles Carter

04/21/2020

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Here, a is 6y and b is 4. Show more…

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Find the product. $$ (6 y-4)(6 y+4) $$

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Key Concepts

Difference of Squares

The difference of squares is an algebraic identity expressed as (a - b)(a + b) = a² - b². Recognizing this pattern simplifies the multiplication of binomials that fit this form, allowing one to quickly arrive at the product without performing full term-by-term multiplication.

Multiplying Binomials

Multiplying binomials involves applying the distributive property, often referred to as the FOIL (First, Outer, Inner, Last) method, to multiply each term in the first binomial by each term in the second binomial. This process helps in expanding and simplifying expressions in algebra.

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