step 1 My first step in factoring is to look for a greatest common factor. It doesn't have one. It has

Question

Factor. $$a^{2}-49$$

Name: Problem 16, Chapter 10: Prealgebra and Introductory Algebra
Uploaded: 2020-06-22T13:54:43-08:00
Duration: 28 s
Channel: Matt Gibson
Description: Factor. a^2-49

   Factor.
$$a^{2}-49$$

Prealgebra and Introductory Algebra

Richard N. Aufmann,… 3rd Edition

Chapter 10, Problem 16

Instant Answer

Solved by Expert Matt Gibson

06/22/2020

Step 1

This is a difference of squares, which can be factored using the formula $a^{2} - b^{2} = (a - b)(a + b)$. Show more…

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Factor. $$a^{2}-49$$

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Key Concepts

Difference of Squares

The difference of squares is a fundamental algebraic identity where an expression of the form x² - y² can be factored into (x - y)(x + y). This identity is widely used in simplifying expressions and solving equations involving quadratic terms.

Factoring Quadratic Expressions

Factoring quadratic expressions involves rewriting a quadratic as a product of lower-degree polynomials. This process is essential in algebra for simplifying expressions, solving equations, and understanding the structure of polynomial functions.

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