Mathematics
If the sum and the product of two numbers are 8 and 15 respectively, find the sum of their cubes.
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Answer
Let two numbers be x and y.
Given,
x + y = 8 and xy = 15.
We know that,
⇒ x3 + y3 = (x + y)3 - 3xy(x + y)
⇒ x3 + y3 = 83 - 3(15)(8)
⇒ x3 + y3 = 512 - 360
⇒ x3 + y3 = 152.
Hence, x3 + y3 = 152.
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