Question

Drop answersss!!!!!!!

Answer 1

• a = 0.1
• b = -0.1

Explanation:

It may be easier to find the sum, then "rationalize" the denominator.

`(2i)/(2+i)-(3i)/(3+i)=(2i(3+i)-3i(2+i))/((2+i)(3+i))=(6i+2i^2-6i-3i^2)/(6+5i+i^2)\\\\=(1)/(5+5i)=(5-5i)/((5+5i)(5-5i))=(5-5i)/(25+25)=(5-5i)/(50)\\\\=\boxed{0.1-0.1i}`

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Of course, it doesn't hurt to have a suitable calculator.