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Factories =27x2+y3+z3-9xyz

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Factories =27x2+y3+z3-9xyz
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Sia ? 5 years, 3 months ago

27x3 + y3 + z3 - 9xyz.
(3x)3 + (y)3 + (z)3 - 3(3x)(y)(z)
= (3x + y + z){(3x)2 + (y)2 + (z)2 - (3x)(y) - (y)(z) - (z)(3x)}
(Using Identity a3+ b3+ c3– 3abc= (a + b + c)(a2+ b2+ c2– ab – bc – ca))
= (3x + y + z)(9x2 + y2 + z2 - 3xy - yz - 3zx).

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