Respuesta :

Nicky09103

An odd number is (2x) + 1

An even number is (2x)

These are the definitions.

Using the binomial (2x + 1)(2x + 1), we can see the properties of all products made from odd numbers.

Foiling will give 4x^2 + 4x + 1.

4x^2 is even because 4x^2 can be expressed as 2(2x) x 2(2x).

4x is even because 4x can be expressed as 2(2x)

This means that 4x^2 + 4x is even so the expression 4x^2 + 4x + 1 is odd because an even number + 1 is odd as shown by (2x) + 1.

This shows that every outcome of the product of 2 odd numbers will result being odd.

This means there is no answer to this problem, because any number that is a multiple of 2 is even. (Basically the definition of even)

Using even and odd numbers concepts, it is found that the product is an even number.

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  • An even number is a number that is divisible by 2.
  • An odd number is a number that is not divisible by 2.

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  • The product of two odd numbers will always generate an odd numbers, examples: [tex]3 \times 5 = 15, 3 \times 7 = 21, 3 \times 9 = 27[/tex]
  • The product of an even number with an odd number will always be an even number, as examples: [tex]3 \times 4 = 12, 3 \times 6 = 18[/tex]

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  • The product of the two odd numbers is an odd number.
  • The product of the odd number(product of the two odd) with the multiple of 2, which is even, is an even number.

A similar problem is given at https://brainly.com/question/7852959