Question 33

If $$p^3 - q^3 = ( p - q ) [ ( p + q )^2 - x p q ]$$ then the value of x is

Solution

Expression : $$p^3 - q^3 = ( p - q ) [ ( p + q )^2 - x p q ]$$

=> $$(p-q)(p^2+q^2+pq)=(p-q)[(p+q)^2-xpq]$$

=> $$p^2+q^2+pq=p^2+q^2+2pq-xpq$$

=> $$xpq=2pq-pq$$

=> $$xpq=pq$$

=> $$x=1$$

=> Ans - (A)

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