If the sum of two numbers x and y is 12 and their product is 27, then find the sum of their cubes.
Correct Answer :
756
Solution :
The correct answer is 756.
Given:
Sum of two numbers:
Product of two numbers:
We need to find the value of the sum of their cubes, which is .
Step-by-step Solution:
We use the algebraic identity for the sum of cubes:
Substitute the given values into the algebraic identity:
Calculate each part separately:
Now, subtract from :
Therefore, the sum of their cubes is 756.
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