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Which of the following expressions is in the product-of-sums form?

a) (A + B) (C + D)
b) (AB)(CD)
c) AB(CD)
d) AB+CD

1 Answer

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Final answer:

The expression in product-of-sums form is (A + B) (C + D). It represents the multiplication of two sums, which fits the definition of product-of-sums form where several sums are multiplied together.

Step-by-step explanation:

The expression in the product-of-sums form from the options provided is (A + B) (C + D). Product-of-sums form is a logical expression in which several sums are multiplied together. Each sum consists of literals or variables that can either be in complemented or uncomplemented form.

For example, a product-of-sums expression can look like this: (X + Y)(Y + Z'). Here, two sums (X + Y) and (Y + Z') are multiplied by each other, following the product-of-sums format.

Option a) (A + B) (C + D) correctly represents this form, as it is the multiplication of two sums. In this case, 'A + B' and 'C + D' are two sums that are multiplied together. Both expressions contain the summation of variables, consistent with the product-of-sums requirement.

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