The cube of the sum of two given numbers is 1728, while the product of the two given numbers is 32. Find the sum of the cubes of the two given numbers.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 576.
Given that
The cube of the sum of two given numbers is 1728, while the product of the two given numbers is 32
Let the numbers be x and y
⇒ (x + y)3 = 1728
⇒ x + y = 12 ........1
⇒ xy = 32
Put x = 8 and y = 4
Hence, the value of = x3 + y3 = 83 + 43 = 512 + 64 = 576