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a) 180
b) 205
c) 216
d) 224
Correct answer is: c) 216
Formula use: \left(a-b\right)^3=a^3-b^3-3.a.b.\left(a-b\right)
Here, given expression is :
x^3-y^3-18xy
\rightarrow\left(x\right)^3-\left(y\right)^3-3.6.x.y
\rightarrow\left(x\right)^3-\left(y\right)^3-3.\left(x-y\right).x.y [x – y = 6]
\rightarrow\left(x-y\right)^3
Now, put the value of ‘x\ –\ y’ :
\rightarrow\left(6\right)^3
\therefore 216
Ans: 216.
