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Question
The difference between the two numbers is 5 and their products are 14. Find the difference between their cubes.
Sum
Solution
Let x and y be two numbers, then x – y = 5 and xy = 14
∴ x3 − y3 = (x − y)3 + 3xy(x − y)
= (5)3 + 3 × 14 × 5
= 125 + 210
= 335
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