Question

3 + y + y +y = 3+ y3

Answer 1

`{y}^(3) + 3`

Explanation:

Theory : A sum of two perfect cubes, a3 + b3 can be factored into :

(a+b) • (a2-ab+b2)

Proof : (a+b) • (a2-ab+b2) =

a3-a2b+ab2+ba2-b2a+b3 =

a3+(a2b-ba2)+(ab2-b2a)+b3=

a3+0+0+b3=

a3+b3

Check : 3 is not a cube !!

Ruling : Binomial can not be factored as the difference of two perfect cubes