Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

find the product. simplify your answer. (2w + 2)(2w - 2)

Question

find the product. simplify your answer.
(2w + 2)(2w - 2)

Explanation:

Step1: Identify the formula

This is a difference of squares: \((a + b)(a - b) = a^2 - b^2\). Here, \(a = 2w\) and \(b = 2\).

Step2: Apply the formula

\((2w)^2 - (2)^2\)

Step3: Simplify each term

\((2w)^2 = 4w^2\) and \((2)^2 = 4\), so we get \(4w^2 - 4\).

Answer:

\(4w^2 - 4\)