# How do you simplify (1 + i)(2 - 3i)?

Feb 12, 2016

$5 - i$

#### Explanation:

For 2 complex numbers in rectangular form, we may use the rule to obtain their product :

$\left(a + i b\right) \left(x + i y\right) = a x - b y + i \left(b x + a y\right)$.

So in this particular case we get ;

$\left(1 + i\right) \left(2 - 3 i\right) = 2 + 3 + i \left(2 - 3\right)$

$= 5 - i$.