Factorise 27x^3 + y^3 + 2^3 -9xyz please answer step by step? before of answer i will thank you all my dear helpers. you all are amazing
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27x³ + y³ + 2³ - 9xyz
=> 27x³ + y³ - 8 - 9xyz
=> 28x³ - 9xyz - 8
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Answered by
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Answer:
( 3x² - yz ) ( 9x + y³ + 8 ) are the factors of
27x³ + y³ + 2³ - 9xyz
Step-by-step explanation:
27x³ + y³ + 2³ - 9xyz
⇒ 27x³ + y³ + 8 - 9xyz
⇒ 27x³ - 9xyz + y³ + 8
⇒ 9x ( 3x² - yz ) + y³ + 8
⇒ ( 3x² - yz ) ( 9x + y³ + 8 )
∴ ( 3x² - yz ) ( 9x + y³ + 8 ) are the factors of 27x³ + y³ + 2³ - 9xyz
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