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

x² - 4y²

Step-by-step explanation:

Step 1

On expansion,

(x + 2y) (x - 2y) = x (x - 2y) + 2y (x - 2y)

= x (x) - x (2y) + 2y (x) + 2y (-2y)

= x² - 2xy + 2xy - 4y²

= x² - 4y²

Each of the terms are perfect squares

x² = x X x

4y² = (2y) ² = 2y X 2y

Hence, x² - 4y² is the difference of two squares.

Simplification of (x+2y) (x-2y) gives x²-4y² which is the difference of two squares

X^2-4y^2 would be your answer