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Given that : 27x³ + y³ + z³ – 9xyz
=> (3x)³ + y³ + z³ – 3.(3x)yz
As we know that :
a³ + b³ + c³ - 3abc = (a+b+c)(a²+b²+c²-ab-bc-ca)
Now, on putting a = 3x, b = y and c = z in the given formula :
(3x+y+z)[(3x)²+y²+z²-3xy-yz-3xz)
=> (3x+y+z)(9x²+y²+z²-3xy-yz-3xz)
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