a) 5
b) 8
c) 11
d) 14
correct answer is: b) 8
Formula use: \left(a+b\right)^3=a^3+3a^2b+3ab^2+b^3
Explanation
Here, given expression is :
27a^3+54a^2b+36ab^2+8b^3
\rightarrow\left(3a\right)^3+3.\left(3a\right)^2.2b+3.3a.\left(2b\right)^2+\left(2b\right)^3
\rightarrow\left(3a+2b\right)^3
Now, put the value of ‘a’ and ‘b’, we get :
\rightarrow\{\left(3\times0\right)+\left(2\times1\right)\}^3
\rightarrow\left(0+2\right)^3
\rightarrow\left(2\right)^3
\therefore 8
Ans: 8.