Factorise: 8x3 + y3 + z3 - 6xyz
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Answer:
24+y3+z3_6xyz
Step-by-step explanation:
first multiple 8 mu 3this answer
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{ Using x³ + y³ + z³ – 3xyz = ( x + y + z ) ( x² + y² + z² – xy – yz – zx ) }
= 8x³ + y³ + z³ – 6xyz
= ( 2x )³ + y³ + z³ – 3 ( 2x )( y )( z )
= ( 2x + y + z ) ( 4x² + y² + z² – (2x) y – yz – z (2x) )
= ( 2x + y + z ) ( 4x² + y² + z² – 2xy – yz – 2xz )
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