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The difference of their cubes is 4.

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Q: If the difference of two positive numbers is 1 the product of these same two number is also 1 What is the difference of the cubes of these two numbers?

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It is positive. Any product of an even number of negative numbers will be positive, regardless of how many positive numbers you have. Similarly any product of an odd number of negative numbers will be negative, regardless of how many positive numbers you have.

negative

The product of all those numbers will always be a negative number.

The product of negative number and a positive number is always a negative. The product of two positive numbers, or two negative numbers, is always a positive.

because you can get a positive number as EITHER a product of 2 positive numbers OR the product of the negatives of the SAME 2 numbers; the product of 2 negative numbers is positive.

positive

if 2 positive numbers are multiplied, then the product is positive. if 2 negative numbers are multiplied, the product is positive. if a positive and a negative number are multiplied, the product is negative.

The product of two positive numbers or two negative numbers is a positive number.

A positive number.

(The product of 33 negative numbers) x (2 positive numbers) = (negative sign) x (positive sign) = negative sign

negative number

If you know that the product of 2 negative numbers is positive, then the product of 4 negative numbers has to be positive. The product of the first two negative numbers is positive and the next two negative numbers is positive. Multiplying the product of the first two numbers (positive number) and the product of the last two numbers (also positive), is a positive number times a positive number which is positive. Let a, b, c and d be negative numbers: (a*b*c*d) = (a*b)*(c*d) (-ve*-ve*-ve*-ve)=(-ve*-ve)*(-ve*-ve)= (+ve)*(+ve) = (+ve)

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