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Q: Sum of two numbers is 5 and their difference is also 5what is the product of two numbers?

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The difference of their cubes is 4.

when you add numbers, you get a sum. when you subtract numbers, you get a difference. (also in multiplication it's product, and in division is quotient.)

The product will also be a rational number

the difference is also doubled

Their product will also be an odd number.

No. The product of two negative numbers is positive.

Another rational number.

It's not.

The numbers are relatively prime, or co-prime.

Yes.

... is also nonzero.

Yes, of course. In fact the product of any two numbers is composite unless one of them is 1.

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