How do you simplify (2-3i)(-1+4i)?

1 Answer
May 15, 2018

(2-3i)(-1+4i)=10+11i

Explanation:

Let's use the distributive property.

(2-3i)(-1+4i)=2(-1+4i)-3i(-1+4i)

And let's use it twice more.

2(-1+4i)-3i(-1+4i)=-2+8i+3i-12i^2

Now remember that i^2=-1.

-2+8i+3i-12i^2=-2+8i+3i-12(-1)

=-2+8i+3i+12

=10+11i