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Andreas93 [3]
2 years ago
13

How do I simplify the following to "a+bi" form: (1+2i)^3

Mathematics
1 answer:
damaskus [11]2 years ago
7 0

Answer:

Expand it.

(1+2i)^3 is equal to (1+2i)(1+2i)(1+2i).

Multiply everything out (being sure to multiply <em>every</em> term. (1+2i) * (1+2i) = 1+2i+2i+4i^2.

i is the square root of negative one, so i^2 is just -1. 1+2i+2i-4 is what you get from the first two, so now simplify that:

1-4 + 2i+2i = (-3+4i) and now multiply that by (1+2i):

(-3+4i) * (1+2i) = -3 - 6i +4i +8i^2.

Simplify again, and the answer is: -11-2i

Step-by-step explanation:

I hope this helps - really my only tip is don't spend time thinking about what i is, that just hurts your brain. Just remember that i^2 is equal to negative one, and treat it like regular multiplication and you will be fine.

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katie gives maggie half of her pencils maggie keeps five pencils and gives the rest to jamil how many pencils did katie have if
g100num [7]

Answer:

12 pencils

Step-by-step explanation:

5 + 1 = 50% of the original amount

5 + 1 = 6

50% = 6

6 x 2 = 12 = 100%

Katie had 12 pencils

6 0
3 years ago
Would $105.00 be correct? With the equation of Y=x(15)?
Vilka [71]

Answer:

$15.00h=N

$15.00(7)=N

$105.00=N

N=$105.00

So yes you are correct

Hope that helped

4 0
3 years ago
5) IF...<br> 481 = 2<br> 708 = 3<br> 475 = 0<br> 849 = 3<br> 208 = ?
qwelly [4]

Answer:

1

Step-by-step explanation:

I think its is 1.i hope it is helpful for you

7 0
2 years ago
How can you tell if a point is a solution to a system
ladessa [460]

Answer:

Step-by-step explanation:

I'll provide a simple example to help a little more :)

Let's say the points are 2 and 3, and the system is as follows:

y = 2x - 1

1) Plug the points into the equation (if there is more than one equation, do these steps and then repeat with the other equations)

3 = 2(2) - 1

2) Solve

3 = 4 - 1

3 = 3

If you end up getting an inequality, like 3 = 0, the points are incorrect. If you get a correct equation, the points are correct. It's that simple!

8 0
3 years ago
Read 2 more answers
Find the height of a rectanguale which has a=144in to the second power and w=9 inches
Tju [1.3M]

By taking the quotient between the area and the width, we conclude that the height is 16 inches.

<h3>How to find the height of the rectangle when we know one side and the area?</h3>

Remember that for a rectangle of height H and width W, the area is given by the simple formula:

A = H*W

Here we know that:

A = 144 in^2

W = 9 in

Now, we can replace these in the area equation, and then solve it for H, so we can get the height of our rectangle.

We will get:

A = H*W

H = A/W

H = (144 in^2)/(9 in) = 16in

In this way, we can conclude that the height of our rectangle is equal to 16 inches.

If you want to learn more about rectangles:

brainly.com/question/17297081

#SPJ1

3 0
2 years ago
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