Solution:
we are given with [tex] (a + b)(a^2 - ab + b^2) [/tex]
we have been asked to find the representation of the given factor as a Sum.
As we know that
[tex] (a^3+b^3)= (a + b)(a^2 - ab + b^2) [/tex]
Because
[tex] (a + b)(a^2 - ab + b^2)=a(a^2 - ab + b^2)+b(a^2 - ab + b^2)\\
\\
(a + b)(a^2 - ab + b^2)=a^3-a^2b+ab^2+ba^2-ab^2+b^3\\
\\
(a + b)(a^2 - ab + b^2)=a^3+b^3\\ [/tex]
