Sums and Differences. Evaluate the sum or difference, and write

Layla-Rose Ellison

Layla-Rose Ellison

Answered question

2022-03-03

Sums and Differences. Evaluate the sum or difference, and write the result in the form a+bi.
(3+2i)+5i and 3i(23i)

Answer & Explanation

vzletanje8z0

vzletanje8z0

Beginner2022-03-04Added 6 answers

We have to write the complex numbers in the form of a+bi where sums or differences are given as:
(3+2i)+5i and 3i(23i)
We know the addition or subtraction of complex numbers are done through corresponding terms that is real part with real part and imaginary part with imaginary part.
Example:
x+yi+z+wi=(x+z)+(y+w)i
So solving first part,
(3+2i)+5i=3+2i+5i
=3+(2+5)i
=3+7i
Hence, answer in form of a+bi is 3+7i.
Solving second part,
3i(23i)=3i2+3i
=2+(3+3)i
=2+6i
Hence, answer in form of a+bi is 2+6i.

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