factorize 6a^6-21a^4-12a^2

6 a^{6} - 21 a^{4} - 12 a^{2} = 3 a^{2} [2 a^{4} - 7 a^{2} - 4] = 3 a^{2} [2 a^{4} - 8 a^{2} + a^{2} - 4] = 3 a^{2} [2 a^{2} (a^{2} - 4) + 1 (a^{2} - 4)] = 3 a^{2} (2 a^{2} + 1) (a^{2} - 4) = 3 a^{2} (2 a^{2} + 1) (a + 2) (a - 2)

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