Question

If a + b = 12 and ab=27, then find a³+b³

Answer 1

Given

`\: \:`

• 
  `\sf a + b = 12`

`\: \:`

• 
  `\sf \: ab = 27`

`\: \:`

We Know That

• a³ + b³ = ( a + b )³ - 3ab ( a + b )

`\: \: \:`

`\tt \orange{ 　↬} ( {12})^(3) = 3(27)(12)`

`\: \:`

`\tt \orange{ 　↬} = 1728 - 81(12)`

`\: \:`

`\tt \orange{ 　↬}1728 - 972`

`\: \:`

`\boxed{\tt \orange{ 　↬}756}`

Hope Helps! :)