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27x^3 + y^3 + z^3 - …

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27x^3 + y^3 + z^3 - 9xyz

Posted by Almi Aami 4 years, 3 months ago

CBSE > Class 09 > Mathematics

1 answers

Yogita Ingle 4 years, 3 months ago

Consider, 27x³ + y³+ z³- 9xyz
              = (3x)³ + y³+ z³- 3 × (3x) × y × z
              = [3x + y + z ][(3x)² + y²+ z²- (3x) × y − y × z − z(3x)] [Since (a + b + c )(a² + y²+ z²- ab−bc−ca)]
              = [3x + y + z ][9x² + y²+ z²- 3xy − yz − 3zx]

2Thank You

ANSWER

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CBSE > Class 09 > Mathematics