factorise 81 a2b2c2+ 64a6b2-144a4b2c
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81 a^2 b^2 c^2 + 64a^6 b^2 - 144a^4 b^2 c
= a^2 b^2 (81c^2 + 64a^4 - 144a^2 c)
= a^2 b^2 (8a^2 + 9c)^2
hence the answer is
a^2 b^2 (8a^2 + 9c)^2
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