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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

Respuesta :

A. Associative Property
B. Commutative Property

Answer:

Properties used here are:

A Associative property

B Commutative property.

Step-by-step explanation:

Given the expression:  [tex](4+3i)+(8+2i)[/tex]

[tex](4+3i) + 8 + 2i[/tex]

Using associative property: [tex]a+(b+c) = (a+b)+c[/tex]

[tex]4+(3i+ 8) + 2i[/tex]

Using commutative property:  [tex]a+b=b+a[/tex]

[tex]4+(8+ 3i) + 2i[/tex]

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

[tex](4+8)+ (3i+ 2i)[/tex]

Simplify:

[tex]12+ 5i[/tex]

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