Formula use: \left(a-b\right)^3=a^3-3.a^2.b+3.a.b^2-b^3
Explanation
Here, given expression is :
8a^3-36a^2+54a-27
\rightarrow\left(2a\right)^3-3.\left(2a\right)^2.3+3.2a.\left(3\right)^2-\left(3\right)^3
\rightarrow\left(2a-3\right)^3
Now, put the value of ‘a’ :
\{\left(2\times2\right)-\left(3\right)\}^3 [a=2]
\rightarrow\left(4-3\right)^3
\rightarrow\left(1\right)^3
\therefore 1
Ans: 1.