Math, asked by cyash1196, 8 months ago

111 cube - 89 cube using identities​

Answers

Answered by Anonymous
1

Given that,

  • ✒ 111³ - 89³ = ?

Solution :

➡ 111³ - 89³ = (111 - 89)[(111)² + (111)(89) + (89)² ]

  • a³ - b³ = (a - b)(a² + ab + b² )
  • a = 111 & b = 89

➡ 22[12321 + 9879 + 7921]

➡ 22[ 30121 ]

➡ 662662

 \boxed{∴ 111³ - 89³ = 662662}

Step-by-step explanation:

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