9p​4   ​-24p​2q​2 + 16q​4  ​- 256r​2

      9p4 - 24p2q2 + 16q4 - 256r2=9p4 - 24p2q2 + 16q4  - 256r2=3p22 - 23p24q2 + 4q22 - 16r2=3p2 - 4q22 - 16r2=3p2 - 4q2 + 16r3p2 - 4q2 - 16r

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The equation in the question is already in its simplest form and couldn't be simplified any more.
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