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91Ó°ÊÓ

Add or subtract as indicated and write the result in standard form. $$(-7+5 i)-(-9-11 i)$$

Short Answer

Expert verified
The result of the addition and subtraction of the given complex numbers is \(2+16i\).

Step by step solution

01

Rearrange

Rearrange the expression so that we deal with the real and imaginary parts separately. Thus, we obtain: \[(-7 - (-9)) + (5i - (-11i))\].
02

Simplify Addition and Subtraction

Next, simplify the expression by performing the addition and subtraction of the real and the imaginary parts. \(-7 - (-9)\) becomes \(2\), and \(5i - (-11i)\) becomes \(16i\).
03

Write in Standard Form

Finally, we write the result as a complex number in the standard form. Thus, the resulting complex number is: \(2 + 16i\).

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