Add and Subtract Complex Numbers 1

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Question 1 of 5

Solve

$(3 + 4 i) + (8 + i)$ $(3+4i)+(8+i)$

1. $5 - 11 i$ $5-11i$
2. $5 + 11 i$ $5+11i$
3. $11 - 5 i$ $11-5i$
4. $11 + 5 i$ $11+5i$

Question 2 of 5

Solve

$(- 5 + 9 i) + (- 5 - 9 i)$ $(-5+9i)+(-5-9i)$

1. $- 10$ $-10$
2. $10 + 9 i$ $10+9i$
3. $- 10 - 18 i$ $-10-18i$
4. $0$ $0$

Question 3 of 5

Solve

$(- 1 - i) - (6 - 2 i)$ $(-1-i)-(6-2i)$

1. $- 7 - i$ $-7-i$
2. $7 + i$ $7+i$
3. $7 - i$ $7-i$
4. $- 7 + i$ $-7+i$

Question 4 of 5

Solve

$(3 - 8 i) - (- 12 + 2 i)$ $(3-8i)-(-12+2i)$

1. $15 - 10 i$ $15-10i$
2. $15 + 10 i$ $15+10i$
3. $10 - 15 i$ $10-15i$
4. $10 + 15 i$ $10+15i$

Question 5 of 5

Solve

$(28 + 14 i) - (28 - 4 i)$ $(28+14i)-(28-4i)$

1. $56 - 18 i$ $56-18i$
2. $- 18 i$ $-18i$
3. $18 i$ $18i$
4. $56 + 18 i$ $56+18i$

	$(3 + 4 i) + (8 + i)$ $(3+4i)+(8+i)$	Remove the parentheses.
$=$ $=$	$3 + 4 i + 8 + i$ $color(red)(3)+4i+color(red)(8)+i$	Group the real parts together.
$=$ $=$	$3 + 8 + 4 i + i$ $color(red)(3)+color(red)(8)+4i+i$	Simplify the real parts.
$=$ $=$	$11 + 4 i + i$ $color(red)(11)+4i+i$	Simplify the imaginary parts.
$=$ $=$	$11 + 5 i$ $11+5i$

	$(- 5 + 9 i) + (- 5 - 9 i)$ $(-5+9i)+(-5-9i)$	Remove the parentheses.
$=$ $=$	$- 5 + 9 i + - 5 - 9 i$ $color(red)(-5)+9i+color(red)(-5)-9i$	Group the real parts together.
$=$ $=$	$- 5 + - 5 + 9 i - 9 i$ $color(red)(-5)+color(red)(-5)+9i-9i$	Simplify the real parts.
$=$ $=$	$- 10 + 9 i - 9 i$ $color(red)(-10)+9i-9i$	Simplify the imaginary parts.
$=$ $=$	$- 10$ $-10$

	$(- 1 - i) - (6 - 2 i)$ $(-1-i)-(6-2i)$	Remove the parentheses.
$=$ $=$	$- 1 - i - 6 + 2 i$ $color(red)(-1)-i-color(red)(6)+2i$	Group the real parts together.
$=$ $=$	$- 1 - 6 - i + 2 i$ $color(red)(-1)-color(red)(6)-i+2i$	Simplify the real parts.
$=$ $=$	$- 7 - i + 2 i$ $color(red)(-7)-i+2i$	Simplify the imaginary parts.
$=$ $=$	$- 7 + i$ $-7+i$

	$(3 - 8 i) - (- 12 + 2 i)$ $(3-8i)-(-12+2i)$	Remove the parentheses.
$=$ $=$	$3 - 8 i + 12 - 2 i$ $color(red)(3)-8i+color(red)(12)-2i$	Group the real parts together.
$=$ $=$	$3 + 12 - 8 i - 2 i$ $color(red)(3)+color(red)(12)-8i-2i$	Simplify the real parts.
$=$ $=$	$15 - 8 i - 2 i$ $color(red)(15)-8i-2i$	Simplify the imaginary parts.
$=$ $=$	$15 - 10 i$ $15-10i$

	$(28 + 14 i) - (28 - 4 i)$ $(28+14i)-(28-4i)$	Remove the parentheses.
$=$ $=$	$28 + 14 i - 28 + 4 i$ $color(red)(28)+14i-color(red)(28)+4i$	Group the real parts together.
$=$ $=$	$28 - 28 + 14 i + 4 i$ $color(red)(28)-color(red)(28)+14i+4i$	Simplify the real parts.
$=$ $=$	$0 + 14 i + 4 i$ $color(red)(0)+14i+4i$	Simplify the imaginary parts.
$=$ $=$	$18 i$ $18i$

Add and Subtract Complex Numbers 1

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