May someone teach me how to use the magic x method to factor the quadratic 16x^2-36 step by step?

The difference of squares will factor into conjugates like this:



In order to apply this property,
we must first write both terms as perfect squares.

36 is 6^2, that's easy enough to rewrite as a perfect square.
The other one is a little trickier.
16 is 4^2. From there we'll group the 4^2 and x^2 into a single square using an exponent property,



So our expression looks like this,




Applying our difference of squares rule,



Hope that helps! :)

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