Question

Which properties are used to add these complex numbers? Check all that apply. (4+3i)+(8+2i)=(4+8i)+(3i+2i)=12+5i A. Associative property B. Commutative property C. Distributive property D. None of the above

Answer 1

A. Associative Property
B. Commutative Property

Answer 2

Answer:

Properties used here are:

A Associative property

B Commutative property.

Step-by-step explanation:

Given the expression:  $(4+3i)+(8+2i)$

$(4+3i) + 8 + 2i$

Using associative property: $a+(b+c) = (a+b)+c$

$4+(3i+ 8) + 2i$

Using commutative property:  $a+b=b+a$

$4+(8+ 3i) + 2i$

$(4+8)+ 3i+ 2i$             [Using associative property]

$(4+8)+ (3i+ 2i)$

Simplify:

$12+ 5i$