Simplify (1/2+( square root of 3)/2*i)^2

Simplify terms.
Combine and .
Rewrite as .
Expand using the FOIL Method.
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
Simplify each term.
Multiply .
Multiply and .
Multiply by .
Multiply .
Multiply and .
Multiply by .
Multiply .
Multiply and .
Multiply by .
Multiply .
Multiply and .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Multiply by .
Simplify the numerator.
Rewrite as .
Use to rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Evaluate the exponent.
Rewrite as .
Multiply by .
Move the negative in front of the fraction.
Combine the numerators over the common denominator.
Subtract from .
Combine the numerators over the common denominator.
Simplify each term.
Cancel the common factor of and .
Factor out of .
Cancel the common factors.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Move the negative in front of the fraction.
Cancel the common factor of and .
Factor out of .
Cancel the common factors.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Simplify (1/2+( square root of 3)/2*i)^2