Determine whether the statement ''When I add or subtract complex

agreseza

agreseza

Answered question

2022-01-18

Determine whether the statement When I add or subtract complex numbers, I am basically combining like terms., makes sense or does not make sense, and explain your reasoning.

Answer & Explanation

Corgnatiui

Corgnatiui

Beginner2022-01-19Added 35 answers

Step 1
Consider two complex numbers a+bi and c+di where a, b, c, d are real numbers
Add both complex numbers
(a+bi)+(c+di)=a+bi+c+di
=a+c+bi+di
=(a+c)+i(b+d)
Step 2
Subtract both complex numbers
(a+bi)(c+di)=a+bicdi
=ac+bidi
=(ac)+i(bd)
Hence “it makes sense” that it's just combining like terms that is real terms and imaginary terms.

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