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Expansion of (x^2 - y^2)

Factorise: 2...

Question

Factorise:
$216 + 27 b^{3} + 8 c^{3} - 108 b c$

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Solution

A] $216 + 27 b^{3} + 8 c^{3} - 108 b c$
$= (6)^{3} + (3 b)^{3} + (2 c)^{3} - 6 \times 3 b \times 2 c \times 3$
$= (6 + 3 b + 2 c)^{3}$

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