I just want to know if these are correct. I'll try to show my work as best I can, so if i mess up, please elaborate on where and how so I can improve.
1.) Problem: (8 + i) + -(12 - 6i)
Work:
(8 + i) + -(12 - 6i)
(8+i) + (-12 + 6)
(8 + -12) + (6i + i)
Final Answer: -4+7i
2.) Problem: (4 + i)(9 - i)
Work:
(4 + i)(9 - i)
36 + -4i + 9i + -i²
36 + 5i + 1
Final Answer: 37+5i
3.) Problem: (12) / (4 - i)
Work:
(12) / (4 - i)
(12 * (4 + i)) / ((4 + -i)(4+i))
Final Answer: (48 + 12i) / (17)
1.) Problem: (8 + i) + -(12 - 6i)
Work:
(8 + i) + -(12 - 6i)
(8+i) + (-12 + 6)
(8 + -12) + (6i + i)
Final Answer: -4+7i
2.) Problem: (4 + i)(9 - i)
Work:
(4 + i)(9 - i)
36 + -4i + 9i + -i²
36 + 5i + 1
Final Answer: 37+5i
3.) Problem: (12) / (4 - i)
Work:
(12) / (4 - i)
(12 * (4 + i)) / ((4 + -i)(4+i))
Final Answer: (48 + 12i) / (17)