SOLUTION: Is 4x^2 – 16 the difference of two squares? Is so, how does it factor?

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Question 478912: Is 4x^2 – 16 the difference of two squares? Is so, how does it factor?
Found 2 solutions by Earlsdon, cleomenius:
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
4x%5E2-16 is the difference of two squares.
In general, these will factor as follows:
a%5E2-b%5E2+=+%28a%2Bb%29%28a-b%29 so, in this problem we get:
4x%5E2-16+=+%282x%29%5E2-%284%29%5E2 = %282x%2B4%29%282x-4%29

Answer by cleomenius(959) About Me  (Show Source):
You can put this solution on YOUR website!
Yes it is.
4x^2 - 16 = (2x)^2 - 4^2 = (2x + 4) (2x - 4).
Cleomenius.