Q. 11⋅(6i−9)=Your answer should be a complex number in the form a+bi where a and b are real numbers.
Multiply real part by 11: Multiply the real part of the complex number by 11.We have the complex number (6i−9) and we want to multiply it by 11. We start by multiplying the real part of the complex number, which is −9, by 11.Calculation: 11×(−9)=−99
Multiply imaginary part by 11: Multiply the imaginary part of the complex number by 11.Next, we multiply the imaginary part of the complex number, which is 6i, by 11.Calculation: 11×(6i)=66i
Combine real and imaginary parts: Combine the results from Step 1 and Step 2.We combine the real part and the imaginary part to get the final complex number.Calculation: (−99)+(66i)=−99+66i
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