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Quadratic Systems Quiz Part 1

Simplify the expression.
(3-1)-(2+61)
(1 point)
O 1-7i
O-1+7i
O-6i
O 5+5i

User DrRoach
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2 Answers

5 votes

Final answer:

To simplify the expression (3-1)-(2+61), first find the result of each parenthesis separately and then subtract the second from the first, resulting in -7i, or simply -6i.

Step-by-step explanation:

The question asks to simplify the expression (3-1)-(2+61).

Solution:

First, evaluate the complex numbers inside each parenthesis separately:

  • (3-1) simplifies to 2 - i.
  • (2+61) simplifies to 2 + 6i.

Next, subtract the second expression from the first:

(2 - i) - (2 + 6i) = 2 - 2 - i - 6i = -7i

Thus, the expression simplifies to -6i, which corresponds to one of the multiple-choice options provided in the question.

User Daryn
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7.9k points
2 votes

Final answer:

To simplify the expression (3-1)-(2+61), perform the operations inside the parentheses first. Add the numbers inside the first set of parentheses and subtract the number inside the second set. Finally, subtract one result from the other to obtain the simplified expression.


Step-by-step explanation:

To simplify the expression (3-1)-(2+61), you need to perform the operations inside the parentheses first. Start by adding the numbers inside the first set of parentheses: (2+61) equals 63.

Now, subtract the number inside the second set of parentheses (3-1) which equals 2.

Finally, subtract 63 from 2, giving you the simplified expression: -61.


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User Pygirl
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