"Using distributive, associative, or commutative property, prove that x^2 - 4 is equivalent to (x - 2)(x + 2)."

Firstly, which property would I use to solve this and show equivalence? Secondly, which steps would I need to take in order to show this/obtain my supposed answer ((x - 2)(x + 2)) from the given binomial (x^2 - 4)? I'm really strugglng with this. Thanks! :-)

1 answer

This is the common equation (a-b)(a+b)= a^2 -b^2. You would use the distributive property