# How do you simplify (4-8i) + (-13+23i) and write in a+bi form?

Feb 9, 2016

-9 + 15i

#### Explanation:

To add/subtract complex numbers , collect the real parts together and the imaginary parts together.

If (a + bi) and (c + di) represent 2 complex numbers then

a + bi + c + di =( a + c )+ (b+d)i

and a + bi - (c+ di) = (a-c) + ( b - d)i

hence 4 - 8i - 13 + 23i = - 9 + 15i