The product of a <em>complex</em> number and its conjugate is (a + i b) · (a - i b), where a and b are <em>real</em> numbers, and the result for the <em>complex</em> number 2 + i 3 is 13.
<h3>What is the multiplication of a complex number and its conjugate</h3>
Let be a <em>complex</em> number a + i b, whose conjugate is a - i b. Where a and b are <em>real</em> numbers. The product of these two numbers is:
(a + i b) · (a - i b)
Then, we proceed to obtain the result by some algebraic handling:
a · (a + i b) + (- i b) · (a + i b)
a² + i a · b - i a · b - i² b²
a² - i² b²
a² + b²
If we know that a = 2 and b = 3, then the product of the complex number and its conjugate is:


To learn more on complex numbers: brainly.com/question/10251853
#SPJ1
10 crayons = $5
1 crayon = $5 ÷ 10 = $0.50
Answer: Unit Price = $0.50/crayon
Answer:
Surface Area A = 490 cm²
Step-by-step explanation:
Surface area of a prism A = 2(w l +h l + h w)
where l = length
w = width
h = height
l = 7 cm; w = 7 cm ; h = 14 cm
Surface Area = 2 { ( 7 × 7) + ( 14 × 7) + ( 14 × 7)}
A = 2 { 49 + 98 + 98}
A = 2 × 245
A = 490 cm²
Answer:
C. 
Step-by-step explanation:
The polynomial form that reveals most quickly the zeroes is the form of a product of binomials. That is:

Where
is the product function and
is the i-th root of the polynomial.
Hence,
resembles a form that is close to the form described above. The right option is C.