If x2 = b - ax and x3(x3 + c) = d, then which of the following can be the value of c and d?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. c = a3 + 3ab and d = b3
Put x = 1 and a = 1 in the given equation, we get
1 = b - 1 ⇒ b = 2
and (1 + c) = d ⇒ c = d - 1
Checking the options, we can see that c = a3 + 3ab and d = b3 satisfies our assumptions.
Thus, option 3 is correct.