factorise 27 x cube minus y cube + Z Cube + 9 x y z
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Your answer
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FACTORISATION
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Using identity => a³ + b³ + c³ - 3abc = (a + b + c)(a² + b² + c² - ab - bc - ca)
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)}
=> (3x - y + z)(9x² + y² + z² + 3xy + yz - 3zx)
HOPE IT HELPS
--------------
Your answer
---------------------
FACTORISATION
-----------------------------
Using identity => a³ + b³ + c³ - 3abc = (a + b + c)(a² + b² + c² - ab - bc - ca)
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)}
=> (3x - y + z)(9x² + y² + z² + 3xy + yz - 3zx)
HOPE IT HELPS
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2
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