What is the value of the product (3 - 2i)(3+2i)?

Mathematics

1 answer:

lions [1.4K]3 years ago

5 0

Answer:

Step-by-step explanation:

1. Distribute each term in the first binomial to each term in the second binomial, FOIL (first, outer, inner, last)

(3 - 2i) (3 + 2i)

9 + 6i - 6i - $4i^{2}$

2. Simplify

9 - $4i^{2}$

3. Solve for i. $i^{2}$ = -1

9 - 4 (-1)

9 + 4 = 13

hope this helps!

You might be interested in

The product of x and 6 is greater than or equal to 25

Helen [10]

Answer:

x+6 ≥ 25

Step-by-step explanation:

The product means the sum of x + 6. In this question, x + 6, is greater than or equal to the number 25 which is what ≥ means. Meaning, x can be replaced by a number that when added to 6, will equal to 25 or more. For example, x can equal 19, 20, 21 and so on.

5 0

3 years ago

Ms. McCormick keeps a rectangular recycling bin for used paper in her classroom. The area of the bottom of the bin is 400 square

aniked [119]

According to the dimensions given, the volume of paper in the recycling bin is of 6800 cubic inches.

<h3>What is the volume of a rectangular prism?</h3>

It is given by the multiplication of the base area by the height, that is:

$V = S_bh$