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Multiply and simplify the following complex numbers:
Full solution
Q. Multiply and simplify the following complex numbers:
- Distribute terms: Distribute each term of the first complex number by each term of the second complex number.
- Calculate products: Calculate the products of the real numbers and the products involving the imaginary unit .
) = \)
) = \)
) = \)
) = \)
Since , we replace with . - Combine like terms: Combine like terms, which includes adding the real numbers and the imaginary numbers separately. (real) (real) (imaginary) (imaginary)
- Write final answer: Write the final answer in the standard form of a complex number, which is .The final answer is .
