Question

The difference between two number is 5 and their product is 14. Find the
difference between their cubes.
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Answer 1

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