Combine like terms:

Distribute:

Combine like terms:

Use the FOIL method to simplify. FOIL means to mulitply the first terms together, then multiply the outer terms together, then multiply the inner terms togethers, and lastly, mulitply the last terms together.

The imaginary is equal to:

Write the terms for .

Replace with the appropiate values and simplify.

When adding complex numbers, add the real parts and the imaginary parts separately to get another complex number in standard form.

Adding the real parts gives , and adding the imaginary parts gives .

When simplifying expressions with complex numbers, use the same techniques and procedures as normal.

Distribute the sign to the terms in parentheses:

Combine like terms- combine the real numbers together and the imaginary numbers together:

This gives a final answer of 10-4i

Multiply both the numerator and the denominator by the conjugate of the denominator which is which results in

The numerator after simplification give us

The denominator is equal to

Hence, the final answer in standard form =

Recall that the definition of imaginary numbers gives that and thus that . Therefore, we can use Exponent Rules to write

When simplifying expressions with complex numbers, use the same techniques and procedures as normal.

Distribute the sign to the terms in parentheses:

Combine like terms- combine the real numbers together and the imaginary numbers together:

This gives a final answer of 10+2i

When simplifying expressions with complex numbers, use the same techniques and procedures as normal.

Distribute the sign to the terms in parentheses:

Combine like terms- combine the real numbers together and the imaginary numbers together:

This gives a final answer of 9+9i

Use FOIL to multiply the two binomials.

Recall that FOIL stands for Firsts, Outers, Inners, and Lasts.

Remember that