Formula use: \left(a+b\right)^3=a^3+3.a^2.b+3.a.b^2+b^3
Explanation
Here, given expression is : a^2+b^2
Find the cubes with the help of formula :
\left(a^2+b^2\right)^3
\rightarrow\left(a^2\right)^3+3.\left(a^2\right)^2.b^2+3.a^2.\left(b^2\right)^2+\left(b^2\right)^3
\rightarrow a^6+{3a}^4b^2+{3a^2b}^4+b^6
Ans: a^6+{3a}^4b^2+{3a^2b}^4+b^6\ .