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a) 502
b) 512
c) 552
d) 592
correct answer is: b) 512
Formula use: \left(x+y\right)^3=x^3+y^3+3.x.y\left(x+y\right)
Here, given expression is :
x^3+y^3+24xy
\rightarrow\left(x\right)^3+\left(y\right)^3+3\times8\times xy
Now, putting the value of \left(x+y\right)=8, we get :
\rightarrow\left(x\right)^3+\left(y\right)^3+3\times\left(x+y\right)\times xy
\rightarrow\left(x+y\right)^3
\rightarrow\left(8\right)^3
\therefore 512
Ans: 512.
