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Completely factor: 108−75z^2

 Apr 28, 2016
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Factor the following:
108-75 z^2

Factor -3 out of 108-75 z^2:
-3 (25 z^2-36)

25 z^2-36 = (5 z)^2-6^2:
-3(5 z)^2-6^2

Factor the difference of two squares. (5 z)^2-6^2 = (5 z-6) (5 z+6):
Answer: |   -3(5 z-6) (5 z+6)

 Apr 28, 2016

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