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Multiply complex numbers

-12*(8-2i)=◻
Your answer should be a complex number in the form 
a+bi where a and b are real numbers.

Multiply complex numbers\newline12(82i)= -12 \cdot(8-2 i)=\square \newlineYour answer should be a complex number in the form a+bi a+b i where a a and b b are real numbers.

Full solution

Q. Multiply complex numbers\newline12(82i)= -12 \cdot(8-2 i)=\square \newlineYour answer should be a complex number in the form a+bi a+b i where a a and b b are real numbers.
  1. Distribute real number: To multiply a real number by a complex number, distribute the real number to both the real and imaginary parts of the complex number.\newlineCalculation: 12×(82i)=(12×8)+(12×2i)-12 \times (8 - 2i) = (-12 \times 8) + (-12 \times -2i)
  2. Perform multiplication: Now, perform the multiplication for each term separately.\newlineCalculation: (12×8)=96(-12 \times 8) = -96 and (12×2i)=24i(-12 \times -2i) = 24i
  3. Combine results: Combine the results of the multiplication to get the final complex number.\newlineCalculation: 96+24i-96 + 24i

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