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Multiply. (6-3i)(2-i) Write your answer as a complex number

User Tombruijn
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1 Answer

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Final answer:

To multiply the complex numbers (6-3i) and (2-i), you can use the FOIL method and combine like terms. The product is 9 - 12i.

Step-by-step explanation:

To multiply complex numbers, we can use the FOIL method. Multiply the first terms, the outer terms, the inner terms, and the last terms, and then combine the like terms.

(6-3i)(2-i) = 6*2 + 6*(-i) + (-3i)*2 + (-3i)*(-i)

= 12 - 6i - 6i + 3i^2

= 12 - 12i + 3i^2

Since i^2 = -1, we have:

= 12 - 12i - 3

= 9 - 12i

Therefore, the product of (6-3i)(2-i) is 9 - 12i.

User Simon Byrne
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