a) 0
b) 1
c) 2
d) 3
Correct answer is: a) 0
Formula use: \left(a+b\right)^3=a^3+3a^2b+3ab^2+b^3
Explanation
Here, given expression is :
8x^3+63x^2y+54xy^2+27y^3
\rightarrow\left(2x\right)^3+3.\left(2x\right)^2.3y+3.2x.\left(3y\right)^2+\left(3y\right)^3
\rightarrow\left(2x+3y\right)^3
Now, put the value of ‘x’ and ‘y’, we get :
\rightarrow\{\left(2\times-3\right)+\left(3\times2\right)\}^3
\rightarrow\left(-6+6\right)^3
\therefore 0
Ans: 0.