Find the product. Simplify your answer. (2u + 2)(2u - 2) ______

Identify a and b: We are asked to find the product of two binomials: (2u + 2)(2u - 2). This is a difference of squares problem, which follows the formula (a + b)(a - b) = a^2 - b^2.Apply formula: Identify the values of a and b. In the expression (2u + 2)(2u - 2), a is 2u and b is 2.Simplify result: Apply the difference of squares formula to expand (2u + 2)(2u - 2). (a + b)(a - b) = a^2 - b^2 (2u + 2)(2u - 2) = (2u)^2 - (2)^2Simplify (2u)^2 - (2)^2. (2u)^2 - (2)^2 = (2u * 2u) - (2 * 2) = 4u^2 - 4

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the product. Simplify your answer. $\newline$ $(2u + 2)(2u - 2)$

View step-by-step help

Home

Math Problems

Algebra 1

Multiply two binomials: special cases

Full solution

Q. Find the product. Simplify your answer.

\newline

(2u + 2)(2u - 2)

Identify $a$ and $b$ : We are asked to find the product of two binomials: $(2u + 2)(2u - 2)$ . This is a difference of squares problem, which follows the formula $(a + b)(a - b) = a^2 - b^2$ .
Apply formula: Identify the values of $a$ and $b$ . In the expression $(2u + 2)(2u - 2)$ , $a$ is $2u$ and $b$ is $2$ .
Simplify result: Apply the difference of squares formula to expand $(2u + 2)(2u - 2)$ . $\newline$ $(a + b)(a - b) = a^2 - b^2$ $\newline$ $(2u + 2)(2u - 2) = (2u)^2 - (2)^2$
Simplify result: Apply the difference of squares formula to expand $(2u + 2)(2u - 2)$ . $\newline$ $(a + b)(a - b) = a^2 - b^2$ $\newline$ $(2u + 2)(2u - 2) = (2u)^2 - (2)^2$ Simplify $(2u)^2 - (2)^2$ . $\newline$ $(2u)^2 - (2)^2 = (2u \cdot 2u) - (2 \cdot 2)$ $\newline$ $= 4u^2 - 4$