Factor the following polynomial : 3a(a+b+c)-2b(a+b+c)-c(a+b+c)
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The Venn diagram of each situation is a diagrammatic way of representing what the situation stands for
<h3>How to make the Venn diagrams?</h3><u>Diagram 1: A ∩ B ∩ C</u>
This means that we shade all intersection points of the sets A, B and C
<u>Diagram 2: (A ∩ B) ∪ C</u>
This means that we shade the intersection points of the sets A and B and the whole of set C
<u>Diagram 3: A ∩ (B ∪ C)</u>
This means that we shade the where the set A intersects with the whole of sets B and C
<u>Diagram 4: (A ∩ B) \ C</u>
This means that we shade the intersection point of the sets A and B without shading any point on set C
<u>Diagram 5: (A\B) ∪ (B\C) ∪ (A\C)</u>
This means that we shade all set A without set B, all set B without set C and all set A without set C. In other words, we shade everything in the set without shading set C
See attachment for the diagrams
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