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Anit [1.1K]
3 years ago
5

Use the identity

Mathematics
1 answer:
dezoksy [38]3 years ago
5 0

The sum of the cubes of two numbers is 52

Explanation:

Let a and b be two numbers.

It is given that the sum of the two numbers is 4 and the product of the two numbers is 1

Thus, Rewriting it in the expression form, we have,

a+b=4

    ab=1

To determine the sum of the cubes of two numbers, let us substitute these values in the identity a^3+b^3=(a+b)^3-3ab(a+b) , we get,

a^3+b^3=(4)^3-3(1)(4)

           =64-12

           =52

Thus, the sum of the cubes of two numbers is 52

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