Sum and product of roots question (1 Viewer)

[Existential]

a^2+b^2=(a+b)^2-2ab

a^3+b^3=?

 

[Bored Of Fail1]

use sum of cubes factorisation

so (a+b)(a^2 -ab +b^2) = (a+b) ( ( a+b)^2 -2ab -ab ) = ( a+b) ( (a+b)^2 -3ab ) etc, then sub in values for a+b and ab

 

[Existential]

so the simplification is (a+b)((a+b)^2-3ab).

thankyou.