4va olleckpoiniDiscrete Mathematics OL v1 A - Koscianski, Megan / Chapter 2: Set TheoryRD 2. Use the accompanying Venn diagram t
hat shows the number of elements in regions I through IV to answer the question.10MHow many elements belong to neither set A nor set B?BU Font FamilyAAIFEEOOOE•"'NE
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we know that
A polynomial in the form is called a sum of cubes
so
Let's verify each case to determine the solution
<u>case A)</u>
we know that
-------> is not a perfect cube
therefore
the case A) is not a sum of cubes
<u>case B)</u>
we know that
-------> is not a perfect cube
-------> is not a perfect cube
therefore
the case B) is not a sum of cubes
<u>case C)</u>
we know that
-------> is not a perfect cube
therefore
the case C) is not a sum of cubes
<u>case A)</u>
we know that
Substitute
therefore
<u>the answer is</u>
is a sum of cubes