Formula use: \left(a+b\right)^3=a^3+b^3+3.a.b\left(a+b\right)
Explanation
Here, given expression is :
\left(60\right)^3+\left(30\right)^3+3\times60\times30\times90
Let,
60=a
30=b
Now, find the value :
\left(60\right)^3+\left(30\right)^3+3\times60\times30\times90
\rightarrow a^3+b^3+3.a.b.\left(a+b\right)
\rightarrow\left(a+b\right)^3
Now, putting the a & b value, we get :
\left(60+30\right)^3
\rightarrow\left(90\right)^3
\therefore 729000
Ans: 729000.