Answer:
1. [tex]4i+15[/tex]
2. [tex]5i+18[/tex]
3. [tex]-11i+10[/tex]
4. [tex]-2i[/tex]
5. [tex]9i+5[/tex]
6. [tex]-13[/tex]
7. [tex]-15i^{2}+18i[/tex]
8. [tex]-4i^2-16i[/tex]
9. [tex]-6i^2+38i-40[/tex]
10. [tex]-42i^2+27i-3[/tex]
11. [tex]-25i^2+4[/tex]
12. [tex]-i^2+9[/tex]
13. [tex]2i+8[/tex]
14. [tex]-18i+10[/tex]
Step-by-step explanation:
Standard form means to put the terms in order based on their exponent (x³ -> x² -> x -> constant)
1. (6 - i) + (9 + 5i)
[tex]4i+15[/tex]
2. (7 + 3i) + (11 + 2i)
[tex]5i+18[/tex]
3. (12 + 4i) - (2 - 15i)
[tex]-11i+10[/tex]
4. (3 - 7i) - (3 + 5i)
[tex]-2i[/tex]
[tex]35i^2+6i-9[/tex]
5. 7 - (2 - 3i) + 6i
[tex]7 - 2 + 3i + 6i[/tex]
[tex]9i+5[/tex]
6. -16 + (3 + 4i) - 4i
[tex]-16 + 3 + 4i - 4i[/tex]
[tex]-13[/tex]
7. 3i(6-5i)
[tex]18i-15i^2[/tex]
[tex]-15i^2+18i[/tex]
8. -2i(8+2i)
[tex]-16i+-4i^2[/tex]
[tex]-4i^2-16i[/tex]
9. (-5 + i)(8 - 6i)
[tex]-40+30i+8i-6i^2[/tex]
[tex]-6i^2+38i-40[/tex]
10. (3 - 6i)(-1 + 7i)
[tex]-3+21i+6i-42i^2[/tex]
[tex]42i^2+27i-3[/tex]
11. (2 + 5i)(2 - 5i)
[tex]4-10i+10i-25i^{2}[/tex]
[tex]-25i^2+4[/tex]
12. (-3 - i)(-3 + i)
[tex]9 -3i + 3i -i^2[/tex]
[tex]-i^2+9[/tex]
13. (4 + i) * 2
[tex]2i+8[/tex]
14. (5 - 9i) * 2
[tex]-18i+10[/tex]
:p when I first started answering this I thought the parentheses were being multiplied every time and did 100x more work .-.
Hope it helps <3 :D