Question

Simplify (x+2y)(x-2y)​

Answer 1

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

Answer 2

x² - 4y²

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