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Questions and Answers
What is the result of simplifying the expression 2i(3 + 2i)(4 - 2i)?
What is the result of simplifying the expression 2i(3 + 2i)(4 - 2i)?
The result is 770.
What are the steps to simplify the expression 2i(3 + 2i)(4 - 2i) before arriving at the final answer?
What are the steps to simplify the expression 2i(3 + 2i)(4 - 2i) before arriving at the final answer?
First, multiply 3 + 2i and 4 - 2i to get a new complex number, then multiply that result by 2i.
In the expression 2i(3 + 2i)(4 - 2i), what role does i represent, and how does it affect the multiplication?
In the expression 2i(3 + 2i)(4 - 2i), what role does i represent, and how does it affect the multiplication?
i represents the imaginary unit, and its presence in multiplication introduces complex numbers and their properties.
How can you confirm that your final answer of 770 for 2i(3 + 2i)(4 - 2i) is correct?
How can you confirm that your final answer of 770 for 2i(3 + 2i)(4 - 2i) is correct?
What common mistakes should be avoided when multiplying complex numbers in the expression 2i(3 + 2i)(4 - 2i)?
What common mistakes should be avoided when multiplying complex numbers in the expression 2i(3 + 2i)(4 - 2i)?
Flashcards
Complex Number
Complex Number
A number that can be expressed in the form a + bi, where 'a' and 'b' are real numbers and 'i' is the imaginary unit (√-1).
Imaginary Unit (i)
Imaginary Unit (i)
The imaginary unit, denoted by 'i', is defined as the square root of -1. It is used to represent numbers that are not part of the real number system.
FOIL Method
FOIL Method
The process of multiplying two binomials together by distributing each term of the first binomial to each term of the second binomial.
Complex Conjugate
Complex Conjugate
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Simplification
Simplification
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