Math, asked by malav1232, 9 months ago

please give correct answer​

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Answered by gbakshi1996
1

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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