Step-by-step explanation:
(a+bi)2
=a2 +2abi +b2i2
=a2 +2abi + b2. (-1)
=a2 -b2 +2abi
Answer = (a+b(a-b) +2abi
Answer:
A. Independent variable
Step-by-step explanation:
The prediction of a variable can be done if we have the independent variable. Which is the required variable that is used to determine the value of the other variable. The variable to be predicted is dependent on the required variable.
An independent variable can also be referred to as a predictor variable. When its value is known, it can be used to obtain the dependent variable.
Answer:
it cost 5.25 because if u divide 31.50 by 6 it gives u that
Answer:
![3y-2x=16+12i](https://tex.z-dn.net/?f=3y-2x%3D16%2B12i)
![-3x \cdot y=6+48i](https://tex.z-dn.net/?f=-3x%20%5Ccdot%20y%3D6%2B48i)
![x \cdot 2y=-4-32i](https://tex.z-dn.net/?f=x%20%5Ccdot%202y%3D-4-32i)
![x-y=-6-5i](https://tex.z-dn.net/?f=x-y%3D-6-5i)
Step-by-step explanation:
Given:
![x=-2-3i](https://tex.z-dn.net/?f=x%3D-2-3i)
![y=4+2i](https://tex.z-dn.net/?f=y%3D4%2B2i)
---
1st problem:
![3y-2x](https://tex.z-dn.net/?f=3y-2x)
![3(4+2i)-2(-2-3i)](https://tex.z-dn.net/?f=3%284%2B2i%29-2%28-2-3i%29)
Distribute:
![12+6i+4+6i](https://tex.z-dn.net/?f=12%2B6i%2B4%2B6i)
Combine like terms:
![16+12i](https://tex.z-dn.net/?f=16%2B12i)
---
2nd problem:
![-3x \cdot y](https://tex.z-dn.net/?f=-3x%20%5Ccdot%20y)
![-3(-2-3i) cdot (4+2i)](https://tex.z-dn.net/?f=-3%28-2-3i%29%20cdot%20%284%2B2i%29)
![-3(-2-3i)(4+2i)](https://tex.z-dn.net/?f=-3%28-2-3i%29%284%2B2i%29)
Distribute -3 to first factor:
Use foil to simplify:
![24+12i+36i+18i^2](https://tex.z-dn.net/?f=24%2B12i%2B36i%2B18i%5E2)
Replace
with -1:
![24+48i-18](https://tex.z-dn.net/?f=24%2B48i-18)
Combine like terms:
![6+48i](https://tex.z-dn.net/?f=6%2B48i)
---
3rd problem:
![x \cdot 2y](https://tex.z-dn.net/?f=x%20%5Ccdot%202y)
![(-2-3i) \cdot 2(4+2i)](https://tex.z-dn.net/?f=%28-2-3i%29%20%5Ccdot%202%284%2B2i%29)
Distribute 2 to the second factor:
![(-2-3i) \cdot (8+4i)](https://tex.z-dn.net/?f=%28-2-3i%29%20%5Ccdot%20%288%2B4i%29)
![(-2-3i)(8+4i)](https://tex.z-dn.net/?f=%28-2-3i%29%288%2B4i%29)
Use foil to simplify:
![-16-8i-24i-12i^2](https://tex.z-dn.net/?f=-16-8i-24i-12i%5E2)
Replace
with -1:
![-16-32i+12](https://tex.z-dn.net/?f=-16-32i%2B12)
Combine like terms:
![-4-32i](https://tex.z-dn.net/?f=-4-32i)
----
4th problem:
![(-2-3i)-(4+2i)](https://tex.z-dn.net/?f=%28-2-3i%29-%284%2B2i%29)
Distribute:
![-2-3i-4-2i](https://tex.z-dn.net/?f=-2-3i-4-2i)
Combine like terms:
![-2-4-3i-2i](https://tex.z-dn.net/?f=-2-4-3i-2i)
Simplify:
![-6-5i](https://tex.z-dn.net/?f=-6-5i)