Question

Compute: a) $(1-i)+(2+4 i)$ b) $(-2-3 i)-(4-2 i)$

   Compute:
a) $(1-i)+(2+4 i)$
b) $(-2-3 i)-(4-2 i)$

Math in Society

Math in Society

David Lippman 2nd Edition

Chapter 15, Problem 16

Instant Answer

Solved by Expert Ankit Gupta

03/19/2020

Step 1

So we have: $(1-i)+(2+4 i) = (1+2) + (-1+4)i = 3+3i$ Show more…

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Compute: a) $(1-i)+(2+4 i)$ b) $(-2-3 i)-(4-2 i)$

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Key Concepts

Complex Numbers

Complex numbers are numbers that can be expressed in the form a + bi, where a represents the real part and bi represents the imaginary part, with i being the imaginary unit satisfying i² = -1. Complex numbers extend the concept of one-dimensional real numbers to the two-dimensional complex plane.

Addition of Complex Numbers

Addition of complex numbers involves combining the real parts and the imaginary parts separately. Given two complex numbers, (a + bi) and (c + di), their sum is (a + c) + (b + d)i.

Subtraction of Complex Numbers

Subtraction of complex numbers follows a similar process to addition but involves subtracting the real parts and the imaginary parts separately. For two complex numbers, (a + bi) and (c + di), their difference is (a - c) + (b - d)i.

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