Questions: Evaluate the expression (-1+1i)-(7-5i) and write the result in the form a+bi. The real number a equals The real number b equals

Evaluate the expression (-1+1i)-(7-5i) and write the result in the form a+bi. The real number a equals The real number b equals
Transcript text: Evaluate the expression $(-1+1 i)-(7-5 i)$ and write the result in the form $a+b i$. The real number $a$ equals The real number $b$ equals
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Solution

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Solution Steps

Step 1: Identify the Operation

The operation given is '-'. Based on this, we will either add or subtract the real and imaginary parts separately.

Step 2: Perform the Calculation

To evaluate \((a + bi) - (c + di)\), we subtract the real parts \(a - c\) and the imaginary parts \(b - d\):

  • Real part calculation: -1 - 7 = -8
  • Imaginary part calculation: 1 + 5 = 6i

Final Answer:

The result in the form \(x + yi\) is -8 + 6i.

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