Aiko is finding the sum (4 + 5i) + (3 + 7i). She rewrites the sum as (3

Aiko is finding the sum (4 + 5i) + (–3 + 7i). She rewrites the sum as (–3 + 7)i + (4 + 5)i. Which statement explains the mathematical property that she made an error using?

2 months ago

Solution 1

Guest Guest #7933997
2 months ago


Given the expression: (4+5i)+(-3+7i)

Aiko rewrites the equation by factoring out the i from the expression and this wrote it as,


but this is wrong because i is an imaginary number which is with a number 5 and 7.

Therefore,  Aiko cannot factor out the i because it is not present in both numbers -3 and 4

She could rewrote it as


So, she incorrectly used the distributive property by combining the real number and the coefficient of the imaginary part.

Solution 2

Guest Guest #7933998
2 months ago
Answer: The Distributive Property
Aiko didn't seem to realize that rewriting it like that would cause the expression to have a different solution. She should study her math.

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