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3*(3+20 i)=
Your answer should be a complex number in the form 
a+bi where 
a and 
b are real numbers.

3(3+20i)= 3 \cdot(3+20 i)= \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. 3(3+20i)= 3 \cdot(3+20 i)= \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. Identify complex number and multiplier: Identify the complex number and the multiplier.\newlineThe complex number is 3+20i3 + 20i, and the multiplier is 33.
  2. Multiply real part by multiplier: Multiply the real part of the complex number by the multiplier.\newlineReal part multiplication: 3×3=93 \times 3 = 9
  3. Multiply imaginary part by multiplier: Multiply the imaginary part of the complex number by the multiplier.\newlineImaginary part multiplication: 3×20i=60i3 \times 20i = 60i
  4. Combine real and imaginary part results: Combine the results of the real part and imaginary part multiplications.\newlineCombination: 9+60i9 + 60i

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