Venn Diagram question
1 answer:
Answer:
see below
Step-by-step explanation:
The intersection of A and B is the list of elements that show up in both sets. Then the remaining elements of A and of B are those elements of the respective set that are not in the intersection.
The elements that are not in either A or B are listed at the lower left of the diagram (outside the circles).
There are 2 members of the 9-member set that are in the intersection of A and B. If some set member is chosen at random, the probability it is one of those is 2/9.
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Answer: 4x² + 4xy - 3y²
Concept:
When encountering questions that ask for simplifying algebraic expressions, using the FOIL method would be easier:
- <u>First</u>, which means multiplying the first terms together;
- <u>Outer</u>, which means that we multiply the outermost terms when the binomials are placed side by side;
- <u>Inner</u>, which means multiply the innermost terms together;
- <u>Last</u>, which means that we multiply the last term in each binomial together.
Solve:
<u>Given</u>
(2x - y) (2x + 3y)
<u>Expand parentheses and apply the FOIL method</u>
=4x² + 6xy - 2xy - 3y²
<u>Combine like terms</u>
=4x² + (6xy - 2xy) - 3y²
=
Hope this helps!! :)
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