Answer:
(a+bc)(ac+b)
Step-by-step explanation:
Step 1:
abc²+ab+a²c+b²c
Step 2:
ab+a²c+abc²+b²c
Step 3:
a(ac+b)+bc(ac+b)
Step 4:
(a+bc)(ac+b)
So your final answer is:
(a+bc)(ac+b)
Answer:
x=15
Step-by-step explanation:
you get everything out of the parentheses then u subtract or add the two constants together which will give u 15
Answer:
P(Dᶜ )=0.41
Step-by-step explanation:
In the survey, the event D is the event of people who prefer to flirt directly in person.
Given that P(D)=0.590.
If someone is selected randomly, the probability that the individual prefers to flirt directly in person is 0.590.
If the person does not like to flirt in person, the probability of it will be the complement of event D.
From Probability Theory,
P(D)+P(Dᶜ )=1
0.590+P(Dᶜ )=1
P(Dᶜ )=1-0.590=0.41
The probability that the selected person does not like to flirt in person is 0.41.
The for any number n>1 is |(3/4+2/3i)^n| greater than 1 after simplifying the complex number.
<h3>What is a complex number?</h3>
It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.
We have a complex number:
![= \rm |(\dfrac{2}{3}+\dfrac{3}{4}i)^n|\\\\\\= \rm |(\dfrac{8+9i}{12})^n|\\\\\\= \rm |\dfrac{(8+9i)^n}{12^n}|\\\\](https://tex.z-dn.net/?f=%3D%20%5Crm%20%7C%28%5Cdfrac%7B2%7D%7B3%7D%2B%5Cdfrac%7B3%7D%7B4%7Di%29%5En%7C%5C%5C%5C%5C%5C%5C%3D%20%5Crm%20%7C%28%5Cdfrac%7B8%2B9i%7D%7B12%7D%29%5En%7C%5C%5C%5C%5C%5C%5C%3D%20%5Crm%20%7C%5Cdfrac%7B%288%2B9i%29%5En%7D%7B12%5En%7D%7C%5C%5C%5C%5C)
Here n>1
Plug n = 2
![= \rm |\dfrac{(8+9i)^2}{12^2}|\\\\](https://tex.z-dn.net/?f=%3D%20%5Crm%20%7C%5Cdfrac%7B%288%2B9i%29%5E2%7D%7B12%5E2%7D%7C%5C%5C%5C%5C)
= 145/144
= 1.0069
Which is greater than 1.
Thus, the for any number n>1 is |(3/4+2/3i)^n| greater than 1 after simplifying the complex number.
Learn more about the complex number here:
brainly.com/question/10251853
#SPJ1