If m + n = 24, then (m − 16)3 + (n − 8)3 is __________.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 0.
Given that, m + n = 24
⇒ m = 24 - n
Also, (m − 16)3 + (n − 8)3
Putting the value of m in the given expression,
(m − 16)3 + (n − 8)3
⇒ (24 - n − 16)3 + (n − 8)3
⇒ (8 - n)3 + (n − 8)3
⇒ -(n - 8)3 + (n − 8)3
⇒ (n - 8)( -1 + 1)
⇒ (n - 8)(0) = 0
Hence the required answer is 0.