1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Elena-2011 [213]
3 years ago
7

Show the steps to simplify (-1+isqrt3))^3

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
6 0

Answer:

8

Step-by-step explanation:

(-1 + i√3)³

Use binomial expansion:

(-1)³ + 3 (-1)² (i√3) + 3 (-1) (i√3)² + (i√3)³

Simplify:

-1 + 3i√3 − 3 (i√3)² + (i√3)³

-1 + 3i√3 − 3 (-3) + (-3i√3)

-1 + 3i√3 + 9 − 3i√3

8

You might be interested in
Which type of triangle has three sides that are the same length?
Rainbow [258]

Answer:

an equilateral triangle

5 0
3 years ago
Factor out the coefficient of the variable 1/2d+6
IrinaK [193]
Factoring out the 1/2 (that is the coefficient of the variable) would require you to divide the equation by one half, which is the same as multiplying by two. After doing this, the answer can be expressed as:

1/2 (d+12)
5 0
3 years ago
Read 2 more answers
Help me on this math promblem it’s also a missing and is effecting me
Vlad1618 [11]

Answer:

$20.42

Step-by-step explanation:

Given that:

Price of tablet computer = $255.25

Sales tax = 8%

Sales tax will be calculated as follows:

tax amount = 0.08 (255.25)

tax amount = $20.42

So Azim will spend $20.42 on the sales tax.

i hope it will help you!

4 0
4 years ago
HELP FAST PLEASE! FOR BRAINLIEST!!
Gekata [30.6K]

Answer:

1. C-surface area

2. The formula V = B x h is not suitable, because the surface area of wrapping paper needed to be calculated, not the volume.

V = Ph + 2B = 15x(5+6+9) + 2x 9x3/2 = 327

3. B: Base area

   H: Height of solid

4. She said V =220, while V_real = 7x6x4 =168

=> She is wrong

5. Check the Pythagorean theorem 3^2+4^2 =9+16 =25 =5^2

=> Right triangle.

=> Area = 3x4/2 =6

4 0
4 years ago
To write the polynomial −x^3 + x^4 + x − x^2 in standard form, which term should go first?
Goshia [24]

Answer: OPTION D

Step-by-step explanation:

 To express a polynomial in Standard form, you need to see the exponent of each term of the polynomial and then order the polynomial from highest exponent to lowest exponent.

Therefore, for the polynomial  -x^3 + x^4 + x - x^2, you can see that the term that thas the highest exponent is x⁴ (The quartic term).

Then, this polynomial written in Standard form is:

x^4 - x^3 - x^2+x

Therefore, the term that should go first is: the quartic term.

8 0
3 years ago
Other questions:
  • A line that passes through the point (x,y), with a y intercept of band a slope of m, can be represented by the equation y = mx +
    6·1 answer
  • What are the perimeter and area of a square with side length of 12 in.?
    8·1 answer
  • What is the slope of the line shown in the graph? A coordinate plane is shown. Points are graphed at negative 3 comma 2 and nega
    9·2 answers
  • *50 POINTS* PLEASE I NEED HELP
    15·2 answers
  • Complete: __:11= 1/3 :6
    12·2 answers
  • Using a coordinate plane, draw a right triangle so the two shorter sides are 3 and 4 units long
    13·1 answer
  • Hello I was wondering what is the sum of the measures of
    13·2 answers
  • What is the equation of this graphed line?
    12·1 answer
  • 1. A lifeguard marks off a rectangular swimming area at the beach with 200m of rope. What is the greatest area of water she can
    6·1 answer
  • In need of help please :)
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!