Identify the quotient in the form a + bi.
6i/3+2i

Please show your work!

Step-by-step explanation:

Multiply by the conjugate as a factor of one:

The expression is in a+bi form where,

a = 12/13

b = 18/13

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Work Shown:

Multiply top and bottom by 3-2i, which is the conjugate of the original denominator. This will make the denominator go from a nonreal complex number to a purely real number.

The last expression is in a+bi form where a = 12/13 and b = 18/13

Keep in mind that has both sides square to . Also, I'm using the difference of squares rule to go from to .