Prove or Disprove: for All Integers $$a , b , c , \text { if } a \mid c \text { and } b \mid c , \text { then } a b \mid c ^ { 2 }$$

question 34

True/False

Prove or disprove: For all integers $$a , b , c , \text { if } a \mid c \text { and } b \mid c , \text { then } a b \mid c ^ { 2 }$$

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Definitions:

Prediction

The act of forecasting what will happen in the future based on past and current data or evidence.

Theory

A system of ideas intended to explain something, based on general principles independent of the thing to be explained, often involving hypotheses that are tested through observation, experimentation, or other methods of scientific inquiry.

Fear Reactions

Emotional and physiological responses triggered by perceived threats or dangers.

Measurement

The process of quantifying objects, events, or phenomena, typically using tools or instruments to determine dimensions, quantities, or capacities.