Answer
Given
[tex] \: \: [/tex]
- [tex] \sf a + b = 12[/tex]
[tex] \: \: [/tex]
- [tex] \sf \: ab = 27[/tex]
[tex] \: \: [/tex]
We Know That
- a³ + b³ = ( a + b )³ - 3ab ( a + b )
[tex] \: \: \: [/tex]
[tex]\tt \orange{ ↬} ( {12})^{3} = 3(27)(12)[/tex]
[tex] \: \: [/tex]
[tex]\tt \orange{ ↬} = 1728 - 81(12)[/tex]
[tex] \: \: [/tex]
[tex]\tt \orange{ ↬}1728 - 972[/tex]
[tex] \: \: [/tex]
[tex] \boxed{\tt \orange{ ↬}756}[/tex]
Hope Helps! :)
