please give correct answer
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Answer:
(3x+ y+z)(9x²+y²+z²-3xy-yz-3zx)
Step-by-step explanation:
Factorise : 27x³ + y³+z³ -9xyz
27x³ + y³+z³-9xyz = (3x)³ + (y)³ + (z)³ - 9xyz
= (3x)³ + (y)³+ (z)³ - 3 * 3x * y * z
Using identity:
a³ +b³ + c³ -3abc =(a + b + c)(a² + b² + c² - ab - bc - ca) putting a = 3x, b = y,c= z
=(3x + y + z) (9x² + y²+ z² - 3xy - yz – 3zx)
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