(x+2y)(x-2y) Simplify

Jasonbradley

less than a minute read

·

Jun 16, 2024

21

Share

Simplifying (x+2y)(x-2y)

The expression (x+2y)(x-2y) is a product of two binomials. We can simplify this expression using the difference of squares pattern.

Difference of Squares Pattern

The difference of squares pattern states: (a + b)(a - b) = a² - b²

Applying the Pattern

In our case, we have:

• a = x
• b = 2y

Applying the difference of squares pattern, we get:

(x + 2y)(x - 2y) = x² - (2y)²

Final Simplification

Simplifying further, we get:

x² - 4y²

Therefore, the simplified form of (x+2y)(x-2y) is x² - 4y².