Question

Factor completely. $$ 2 x 2-72 $$

Name: Problem 21, Chapter 6: Elementary Algebra
Uploaded: 2022-01-29T19:23:07-08:00
Duration: 53 s
Channel: Sherrie Fenner
Description: Factor completely. 2 x 2-72

   Factor completely.
$$
2 x 2-72
$$

Elementary Algebra

John Redden 1st Edition

Chapter 6, Problem 21

Instant Answer

Solved by Expert Sherrie Fenner

01/29/2022

Step 1

This gives us: $$ 2(x^2 - 36) $$ Show more…

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Factor completely. $$ 2 x 2-72 $$

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Key Concepts

Difference of Squares

This is a specific factoring technique used when an expression takes the form a² - b². It factors into the product (a - b)(a + b). Recognizing and applying the difference of squares formula is essential when the terms in a polynomial are perfect squares separated by a subtraction operator.

Greatest Common Factor

This concept involves identifying and factoring out the largest expression or number that divides every term in a polynomial. Extracting the greatest common factor simplifies the problem and often reveals additional factoring opportunities, making the expression easier to work with.

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