how do i gets (x^2-y^2) to (x+y)(x-y)?

Question

 i got the answer but i did it by playing around with terms unlit they fit. I want to know if there a better way of doing this.

Answer 1

Esa:  The difference of two squares is a basic formula in algebra.

 

(a² - b²) = (a-b)(a+b)

 

To show this multiply it out:

(a-b)(a+b) = a² + ab - ab - b² = a² - b²

 

The only difference for your question is calling the variables

x and y instead of a and b

 

Example:

9x² - 16y² = (3x)² - (4y)² = (3x - 4y)(3x + 4y)

Answer 2

They are difference in perfect squares.