Factor. v^2 - 4 ______

Identify Factoring Technique: Determine the appropriate factoring technique for v^2 - 4. The expression is a difference of squares because it can be written as a^2 - b^2, where a = v and b = 2.Write as Difference of Squares: Write v^2 - 4 as a difference of squares. v^2 = v * v = (v)^2 4 = 2 * 2 = 2^2 So, v^2 - 4 = (v)^2 - 2^2Apply Factoring Formula: Apply the difference of squares formula to factor the expression. The difference of squares formula is a^2 - b^2 = (a - b)(a + b). Using this formula, we get: (v)^2 - 2^2 = (v - 2)(v + 2)

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Factor. $\newline$ $v^2 - 4$

View step-by-step help

Home

Math Problems

Algebra 1

Factor quadratics: special cases

Full solution

Q. Factor.

\newline

v^2 - 4

Identify Factoring Technique: Determine the appropriate factoring technique for $v^2 - 4$ . The expression is a difference of squares because it can be written as $a^2 - b^2$ , where $a = v$ and $b = 2$ .
Write as Difference of Squares: Write $v^2 - 4$ as a difference of squares. $\newline$ $v^2 = v \times v = (v)^2$ $\newline$ $4 = 2 \times 2 = 2^2$ $\newline$ So, $v^2 - 4 = (v)^2 - 2^2$
Apply Factoring Formula: Apply the difference of squares formula to factor the expression. $\newline$ The difference of squares formula is $a^2 - b^2 = (a - b)(a + b)$ . $\newline$ Using this formula, we get: $\newline$ $(v)^2 - 2^2 = (v - 2)(v + 2)$