Respuesta :

To determine the difference between complex number:

[tex](-1-5i)-(5-7i_{})[/tex]

Step 1: Remove the bracket and find the difference

[tex]\begin{gathered} (-1-5i)-(5-7i_{}) \\ -1-5i-(5-7i_{}) \\ -1-5i-5+7i_{} \end{gathered}[/tex]

Step2: Collect like terms

[tex]\begin{gathered} (-1-5i)-(5+7i_{}) \\ (-1-5i)-(5+7i_{} \\ -1-5-5i+7i \\ -6+2i \\ 2i-6 \end{gathered}[/tex]

Hence the final answer is 2i - 6