Question

If x-iy=4+31 then ex+4)² is equal to?​

Answer 1

Answer:

Given, (x+iy)  

3

=u+iv

x  

3

+(iy)  

3

+3.x.iy(x+iy)=u+iv

x  

3

+i  

3

y  

3

+3x  

2

yi+3xy  

2

i  

2

=u+iv

x  

3

−iy  

3

+3x  

2

yi−3xy  

2

=u+iv

(x  

3

−3xy  

2

)=i(3x  

2

y−y  

3

)=u+iv

On equating real and imaginary parts, we get

u=x  

3

−3xy  

2

,v=3x  

2

y−y  

3

 

∴  

x

u

​  

+  

y

v

​  

=  

x

x  

3

−3xy  

2

 

​  

+  

y

3x  

2

y−y  

3

 

​  

 

=  

x

x(x  

2

−3y  

2

)

​  

+  

y

y(3x  

2

−y  

2

)

​  

 

=x  

2

−3y  

2

+3x  

2

−y  

2

=4x  

2

−4y  

2

=4(x  

2

−y  

2

)

Step-by-step explanation:

Answer 2

Step-by-step explanation:

The answer is given in above picture