factorise a^3 - 8b^3 - 64c^3 - 24abc
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x3 + y3 + z3 – 3xyz
= (x + y + z) (x2 + y2 + z2 –xy – yz – zx) a3 + 8b3 - 64c3 + 24abc
= (a)3 + (2b)3 + (-4c)3 - 3(a)(2b)(-4c) = (a + 2b - 4c)(a2 + 4b2 + 16c2 - 2ab + 8bc + 4ac) ∴ a3 + 8b3 - 64c3 + 24abc
= (a + 2b - 4c)(a2 + 4b2 + 16c2 - 2ab + 8bc + 4ac)
= (x + y + z) (x2 + y2 + z2 –xy – yz – zx) a3 + 8b3 - 64c3 + 24abc
= (a)3 + (2b)3 + (-4c)3 - 3(a)(2b)(-4c) = (a + 2b - 4c)(a2 + 4b2 + 16c2 - 2ab + 8bc + 4ac) ∴ a3 + 8b3 - 64c3 + 24abc
= (a + 2b - 4c)(a2 + 4b2 + 16c2 - 2ab + 8bc + 4ac)
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