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
elena55 [62]
2 years ago
14

Multiply? I don't know how to do this o.o (X+4√2) (x-4√2) (x-3i)

Mathematics
1 answer:
Korolek [52]2 years ago
6 0

Answer:

x^{3} -(3i) \; x^{2} -32x + 96 i.

Step-by-step explanation:

Notice that the first two factors are in the form (x-a)(x+a), which is equal to (x^{2} - a^{2}). Start by combining and expanding these two factors:

Let a = 4\sqrt{2}.

a^{2} = 16 \times 2 = 32.

(x + a) (x - a) = x^{2} - a^{2} = x^{2} -32.

This expression can now be expressed as (x^{2} - 32)(x - 3i). i stands the unit imaginary number, where i^{2} = -1. Unless i is raised to a certain power other than 1, it can be treated just like a constant.

Expand this expression using FOIL:

\begin{aligned}&(x^{2} - 32)(x - 3i)\\=&\underbrace{x^{2}\cdot x}_{\verb!F!} +\underbrace{(x^{2})(-3i)}_{\verb!O!} + \underbrace{(-32)x}_{\verb!I!} + \underbrace{(-32)(-3i)}_{\verb!L!}\\=& x^{3} -(3i)x^{2}-32x + 96i \end{aligned}.

You might be interested in
5.which of the following ordered pairs is a solution of the given system of linear equations
liq [111]

Answer:

the answer is d

Step-by-step explanation:

answers are shown

4 0
3 years ago
When somebody tells there friend there da best does that mean they think that they’re better then anyone else???
Otrada [13]

Answer:

Yep

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Pierre's company bought cement for $5.25 per bag . If they sold the cement for $7.35 per bag. What was the markup rate ?
qwelly [4]
2.15$ would be the mark up rate.
5 0
2 years ago
Ashley earn 60 points every time she shops at a grocery store she needs a total of 2580 points to receive a prize so far she has
lutik1710 [3]
Answer: 35 more times
How: (if she gets 60 points for each grocery store visit then first do 2580-480=2100. she still needs 2100 points so then 2100/60 = 35 grocery visits!)
4 0
3 years ago
What is the slope of the line that contains the points (4, –1) and (–1, 4)?
BaLLatris [955]
I believe the correct answer is B. -5
4 0
3 years ago
Read 2 more answers
Other questions:
  • The product of 2 and the cube of a number,
    5·1 answer
  • (1+5^2)-16(1/2)^3<br><br> step by step of solving this
    5·1 answer
  • Measure angle CHF when angle BGE is 110°
    6·1 answer
  • A carpenter contracts to do a job.The costs for the job are$2,000 for materials,$500 for labor, and $150 for equipment rental.Wh
    8·1 answer
  • What is the simplified form of i^15<br> Apex
    6·2 answers
  • If the function f(x) = -1/2x - 7 were graphed, which of the following would be true?
    13·1 answer
  • I need help solving this
    7·1 answer
  • Isaac records the following temperatures (in degrees Fahrenheit) at noon during one week:
    8·1 answer
  • Help me with this math question please I'm giving away brainliests​
    11·2 answers
  • Solve each proportion using the Cross Products Property.<br> Will give brainliest
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!