Factoring a Difference of Squares:
I would have personally FIRST factored out a GCF of 4 from each term in the 2nd example.
Some tougher examples of Factoring a Difference of Squares:
Factoring Perfect Square Trinomials:
Special Factors
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p 156-159 #2-3all, 5 even letters, 6 & 7 odd letters, 8abcf