Q66. - Algebra 2

Question

Simplify

 

$\left(7+2i\right)\left(1-i\right)$

Step-by-Step Solution

Answer

The simplified value of expression is $\left(7+2i\right)\left(1-i\right)=9-5i$.

Step 1. Given Information.

Given to simplify the expression $\left(7+2i\right)\left(1-i\right)$

Step 2. Explanation .

From the properties of complex numbers, $i^2=-1$

Using the above property,

 $\begin{array}{l}\left(7+2i\right)\left(1-i\right)=7-7i+2i-2i^2\\ \left(7+2i\right)\left(1-i\right)=7-7i+2i-2\left(-1\right)\\ \left(7+2i\right)\left(1-i\right)=7-7i+2i+2\\ \left(7+2i\right)\left(1-i\right)=7+2-7i+2i\\ \left(7+2i\right)\left(1-i\right)=9-5i\end{array}$

 

Step 3. Conclusion .

Therefore, The simplified value of expression is $\left(7+2i\right)\left(1-i\right)=9-5i$.