Find the product of $$(a + b + 2c)(a^{2} + b^{2} + 4c^{2} - ab - 2bc - 2ca)$$
$$(a + b + 2c)(a^{2} + b^{2} + 4c^{2} - ab - 2bc - 2ca)$$Â Â
$$= a^3 + b^3 + (2c)^3 - 3 \times a \times b \times 2c$$
$$(\because a^3 + b^3 + c^3 - 3abc = (a + b + c)(a^{2} + b^{2} + c^{2} - ab - bc - ca))$$
$$=Â a^3 + b^3 + 8c^3 - 6abc$$
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