Question

What is the value of alpha cube plus beta cube

Answer 1

Here is the solution:In this example, I've assumed alpha to be ‘a’ and beta to be 'b'.

The derivation is as follows,

By the identity, we know,

(a+b)3=a3+3a2b+3ab2+b3

Take other elements to the LHS of the equation and we get,

(a+b)3−3a2b−3ab2=a3+b3

i.e. a3+b3=(a+b)3−3a2b−3ab2

Which can further be simplified as follows

a3+b3=(a+b)3−3ab(a+b)

a3+b3=(a+b) [(a+b)2−3ab]

a3+b3=(a+b) (a2+2ab+b2−3ab)

a3+b3=(a+b) (a2−ab+b2).

Then put aplha and beta in place of a and b to gte final answer.

Answer 2

Alpha cube plus beta cube is equal to (minus b/a)(bsquare minus 3ac/a square