Question

Factor each expression. $$ x^{2}-4 $$

Name: Problem 43, Chapter 5: Algebra 2
Uploaded: 2020-01-17T22:51:45-08:00
Duration: 1 min
Channel: Robert Leedy
Description: Factor each expression. x^2-4

   Factor each expression.
$$
x^{2}-4
$$

Algebra 2

Prentice Hall, Basia… 1st Edition

Chapter 5, Problem 43

Instant Answer

Solved by Expert Robert Leedy

01/17/2020

Step 1

A difference of squares is a binomial of the form $a^{2}-b^{2}$, which can be factored into $(a+b)(a-b)$. In this case, $a^{2}$ is $x^{2}$ and $b^{2}$ is $4$. Show more…

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Factor each expression. $$ x^{2}-4 $$

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Key Concepts

Factoring Polynomials

Factoring polynomials involves rewriting a polynomial as a product of simpler polynomials or expressions whose multiplication gives the original polynomial. This approach simplifies expressions and aids in solving equations by breaking down complex expressions into more manageable components.

Difference of Squares

The difference of squares is a specific factoring technique used when an expression is the difference between two perfect squares. It relies on the identity a² - b² = (a - b)(a + b), allowing the expression to be written as a product of two binomials.

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