Question

Factor completely. $$ 7 h^{2}-7 $$

Name: Problem 57, Chapter 7: Beginning and Intermediate Algebra
Uploaded: 2021-02-20T06:55:48-08:00
Duration: 1 min 3 s
Channel: Narayan Hari
Description: Factor completely. 7 h^2-7

   Factor completely.
$$
7 h^{2}-7
$$

Beginning and Intermediate Algebra

Sherri Messersmith 3rd Edition

Chapter 7, Problem 57

Instant Answer

Solved by Expert Narayan Hari

02/20/2021

Step 1

We factor out the 7 from the expression: $$ 7h^{2}-7 = 7(h^{2}-1) $$ Show more…

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Factor completely. $$ 7 h^{2}-7 $$

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Key Concepts

Greatest Common Factor (GCF) Extraction

GCF extraction is a factoring technique where you identify the largest factor common to all terms in an expression. By extracting this factor, the expression is simplified, which often makes subsequent factoring steps easier. This concept is crucial because it is typically the first step in factoring expressions completely, ensuring that no common factors are overlooked.

Difference of Two Squares

The difference of two squares is a special factoring pattern applicable to expressions that can be written as a^2 - b^2, which factors into (a - b)(a + b). Recognizing this pattern allows for a swift factorization of certain quadratic expressions, thereby simplifying the problem and revealing the underlying structure of the expression.

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