The value of {[4a^2-9b^2]^3+[9b^2-16c^2]^3+[16c^2-4a^2]^3}/[2a-3b]^3+[3b-4c]^3+[4c-2a]^3

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3 - 12 (a - b)^{2}

4 a^{2} - 9 b^{2} - 2 a - 3 b

4 a^{2} - 9 b^{2} - 2 a - 3 b

Factorise:
$4 a^{2} - 9 b^{2} - 2 a - 3 b$

(2 a + 3 b - 4 c) (4 a^{2} + 9 b^{2} + 16 c^{2} - 6 a b + 12 b c + 8 c a)

4 a^{2} + 9 b^{2} + 16 c^{2} + 12 a b - 24 b c - 16 a c

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