Answer:
3, with 2 people left over
120 because 60 times two is 120 and six times two is twelve
The correct value of (3cis(pi/6))³ is 27i.
<h3>What is Complex Number?</h3>
Complex numbers are numbers that consist of two parts — a real number and an imaginary number. Complex numbers are the building blocks of more intricate math, such as algebra.
Given the complex number in polar coordinate expressed as
z = r(cos∅+isin∅)
zⁿ = {r(cos∅+isin∅)}ⁿ
According to DeMoivre’s Theorem;
zⁿ = rⁿ(cosn∅+isinn∅)
Given the complex number;
(3cis(pi/6))³
= {3(cosπ/6 + isinπ/6)}³
Using DeMoivre’s Theorem;
= 3³(cos3π/6 + isin3π/6)
= 3³(cosπ/2 + isinπ/2)
= 3³(0 + i(1))
= 27i
Thus, the correct value of (3cis(pi/6))³ is 27i.
Learn more about Complex number from:
brainly.com/question/10251853
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Answer:
x³ - 3x² - 18x
Explanation:
Before we begin, remember the following:
xᵃ * xᵇ = xᵃ⁺ᵇ
Now, for the given:
To solve thus question, we will simply multiply each term from the first bracket by each term from the second bracket and then combine like terms to get the final answer.
This can be done as follows:
(x + 3)(x² - 6x)
x(x²) + x(-6x) + 3(x²) + 3(-6x)
x³ - 6x² + 3x² - 18x
x³ - 3x² - 18x
Hope this helps :)
