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

Properties used here are:

A Associative property

B Commutative property.

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`