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a) 4
b) 5
c) 7
d) 8
correct answer is: d) 8
Formula use: \left(a-b\right)^3=a^3-b^3-3.a.b.\left(a-b\right)
Here, given expression is :
p^3-q^3-6pq
\rightarrow\left(p\right)^3-\left(q\right)^3-3.2.p.q
\rightarrow\left(p\right)^3-\left(q\right)^3-3.\left(p-q\right).p.q [p – q = 2]
\rightarrow\left(p-q\right)^3
Now, put the value of ‘p\ –\ q’ :
\rightarrow\left(2\right)^3
\therefore 8
Ans: 8.
