Questions: Subtract and simplify. (11+9 i)-(6+7 i) (11+9 i)-(6+7 i)= (Simplify your answer. Type your answer in the form a+bi.)

Transcript text: Question 3 of 25 Subtract and simplify. \[ \begin{array}{l} (11+9 i)-(6+7 i) \\ (11+9 i)-(6+7 i)= \end{array} \] (Simplify your answer. Type your answer in the form $\mathrm{a}+\mathrm{bi}$.)

Solution

Solution Steps

Step 1: Subtract the Real Parts

Subtract the real part of the second complex number from the first: 11 - 6 = 5

Step 2: Subtract the Imaginary Parts

Subtract the imaginary part of the second complex number from the first: 9 - 7 = 2

Step 3: Combine the Results

Combine the results of the subtraction to form the resulting complex number: 5 + 2i

Final Answer:

The result of subtracting the complex numbers (11 + 9i) - (6 + 7i) is 5 + 2i.

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