Factorise: x cube+8y cube+27z cube-18xyz
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x³+8y³+27z³–18xyz
=x³+(2y)³+(3z)³–3×x×2y×3z
=(x+2y+3z)×(x²+(2y)²+(3z)²–x×2y–2y×3z–3z×x)
=(x+2y+3z)×(x²+4y²+9z³–2xy–6yz–3zx)
=x³+(2y)³+(3z)³–3×x×2y×3z
=(x+2y+3z)×(x²+(2y)²+(3z)²–x×2y–2y×3z–3z×x)
=(x+2y+3z)×(x²+4y²+9z³–2xy–6yz–3zx)
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