Nothing can be simplified in either parentheses, so the first step is to distribute the negative sign to the second parentheses

Then, you combine similar terms remembering that terms with i cannot combine with those with no i

Evaluate each term of the expression. Write out the values of the imaginary terms.

Replace the values of each.

Sum all the values.

The answer is:

refers to the absolute value of a complex number , which can be calculated by evaluating . Setting , the value of this expression is:

Identify the first two powers of the imaginary term.

Rewrite the expression as a product of exponents.

Negative one to an odd power will be negative one.

The answer is:

Write the powers of the imaginary numbers.

Notice that this will repeat. We can rewrite higher powers if the imaginary term by product of powers.

The answer is:

To raise to the power of any positive integer, divide the integer by 4 and note the remainder. The correct power is given according to the table below.

, so can be determined by selecting the power of corresponding to remainder 0. The corresponding power is 1, so .

Rewrite the problem as separate groups of binomials.

Use the FOIL method to expand the first two terms.

Simplify the right side.

Recall that since , the value of .

Multiply this value with the third binomial.

Simplify the terms.

The answer is:

To raise to the power of any positive integer, divide the integer by 4 and note the remainder. The correct power is given according to the table below.

, so can be determined by selecting the power of corresponding to remainder 1. The correct power is , so .