Power of a Complex Number...3

[nycmathguy]

Section 6.6

 

[MathLover1]

Apply Perfect Cube Formula: (a-b )^3=a^3-3a^2b+3ab^2-b^3 for the

where \(a=1\) and \(b=sqrt(3)*i\)

=\(4(1^3-3*1^2*sqrt(3)*i+3*1(sqrt(3)*i)^2-(sqrt(3)*i)^3\)........simplify

=\(4(-8)\)

=\(-32\)

 

[nycmathguy]

Apply Perfect Cube Formula: (a-b )^3=a^3-3a^2b+3ab^2-b^3 for the

where \(a=1\) and \(b=sqrt(3)*i\)

=\(4(1^3-3*1^2*sqrt(3)*i+3*1(sqrt(3)*i)^2-(sqrt(3)*i)^3\)........simplify

=\(4(-8)\)

=\(-32\)

I can't get one single question right. Sad.