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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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The profit for a car company can be represented by the function P=−0.5 x² +4 x+ 12,
luda_lava [24]

Answer:

3x+12

Step-by-step explanation:

-0.5x*2+4x+12

Multiply 0.5x*2=x

= -x+4x+12

Add similar elements -x+4x+12

= 3x+12

4 0
3 years ago
One pretzel has 20 calories. Write an algebraic expression for the total number of calories in n pretzels.
vredina [299]

Answer:

20n

Step-by-step explanation:

One pretzel has 20 calories. Write an algebraic expression for the total number of calories in n pretzels.

1 pretzel = 20 calories

n pretzel = x

Cross Multiply

x × 1 pretzel = n pretzel × 20 calories

x = n pretzel × 20 calories/1 pretzel

x = 20 n

Therefore, an algebraic expression for the total number of calories in n pretzels = 20n

4 0
3 years ago
What is the completely factored form of 4x+20
allsm [11]
Hi there!

Since both 4x and 20 can be divisible by 4 and is greatest able to be divisible by 4, we can divide the 4 and put it outside of the parenthesis in order to factor:

4x / 4 = x
20 / 4 = 5

4 (x + 5) 
would be your answer. 

Hope this helps!
3 0
3 years ago
Can anyone help me please
Annette [7]

Answer: i dont know


Step-by-step explanation:


4 0
3 years ago
Tash 3 write the Following in expanded form then in word form. 1. 355,645​
Karolina [17]

Answer:

u will get a option like this when u put ur question then u can add photos!!

5 0
3 years ago
Read 2 more answers
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