If x + y = 36, then find (x − 27)3 + (y − 9)3.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 0
Given:
x + y = 36
Concept used:
If (a + b) = 0 then a3 + b3 = 0
Calculation:
x + y = 36
x - 27 = 9 - y
⇒ (x - 27) + (y - 9) = 0
{(x - 27) + (y - 9)}3 = 03 (Taking cube on both sides)
⇒ (x - 27)3 + (y - 9)3 = 0 (According to the concept)
So, the required value is 0.