Math, asked by AgasthyaAAgumu, 4 months ago

Factorize a³ - 8b³ - 64c³ - 24abc
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Answers

Answered by CopyThat
8

a³ - 8b³ - 64c³ - 24abc✯³

  • It can be written as:

➺ (a)³ + (-2b)³ + (-4c)³ - 3(a)(-2b)(-4c)

Identity used✭

  • x³ + y³ + z³ = (x + y + z) ( x² + y² + z² - xy - yz - zx)

The factors are:

  • (a - 2b - 4c) [(a)² + (-2b)² + (-4c)² - (a)(-2b) - (-2b)(-4c) - (-4c)(a)]
  • (a - 3b - 4c) (a² + 4b² +16c² + 2ab - 8bc + 4ca)
Answered by itsSakshamtq
2

Answer:

It can be written as:

➺ (a)³ + (-2b)³ + (-4c)³ - 3(a)(-2b)(-4c)

✭Identity used✭

Step-by-step explanation:

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