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Prove or Disprove: for All Integers A, B, C, D (a+c)(b+d)( a + c ) \mid ( b + d )

question 109

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Prove or disprove: For all integers a, b, c, d, if a|b and c|d, then (a+c)(b+d)( a + c ) \mid ( b + d )


Definitions:

Group Norms

Accepted standards or behaviors shared by a group's members, guiding their actions and decisions.

Injunctive Norm

A type of social norm that describes what is commonly approved or disapproved within a culture or group.

Normative Influence

The influence of other people that leads us to conform in order to be liked and accepted by them, often resulting in public compliance but not necessarily private acceptance.

Verbal Harassment

Involves using words to belittle, demean, or assault someone, often creating an environment of fear or discomfort for the victim.

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