Find the following products of complex numbers \(\displaystyle{\left(-{1}-{2}{i}\right)}{\left({2}+{i}\right)}\)

Jefferson Pacheco

Jefferson Pacheco

Answered question

2022-04-12

Find the following products of complex numbers
(12i)(2+i)

Answer & Explanation

star04iks7

star04iks7

Beginner2022-04-13Added 14 answers

Step 1
We have to find the following products of complex numbers
(12i)(2+i)
=[(1)×2]+[(1)×i]+[(2i)×2+[(2i)×i]
=[2]+[i]+[4i]+[2i2]
Here we know
i=1 and i2=1
(12i)(2+i)=2i4i+[2×1]
=25i+2=5i
(12i)(2+i)=5i
This is th required answer.

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