Question

Which expression is equal to (−3−i)+(5+6i)? 2+5i7−7−4+11i

Answer 1

GIVEN:

We are given the following expression;

$(-3-i)+(5+6i)$

Required;

Select which of the given expressions is an equivalent.

Step-by-step solution;

We begin by grouping the real parts and the imaginary parts using the principle shown below;

$\begin{gathered} (a+bi)+(c+di) \\ \\ =(a+c)+(bi+di) \\ \\ =(a+c)+(b+d)i \end{gathered}$

We can now refine as follows;

$\begin{gathered} (-3-i)+(5+6i) \\ \\ =(-3+5)+(-i+6i) \\ \\ =(-3+5)+(-1+6)i \\ \\ =2+5i \end{gathered}$

ANSWER:

The equivalent expresion is;

$2+5i$