SOLUTION: factor completely. if the polynomial is prime please state. I was able to factor but not sure if polynomial is prime 75x^2 – 3 3(25x^2 -1)

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Question 259221: factor completely. if the polynomial is prime please state.
I was able to factor but not sure if polynomial is prime
75x^2 – 3
3(25x^2 -1)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
One more step.
Whenever you have a difference of squares, it factors as follows,
z%5E2-a%5E2=%28z-a%29%28z%2Ba%29
In your case,
z%5E2=25x%5E2
z=5x
a%5E2=1
a=1
75x%5E2-3=3%2825x%5E2-1%29
75x%5E2-3=3%285x-1%29%285x%2B1%29