# How do you simplify  5+ (2+3i)+(-3- 7i)?

Jan 13, 2016

4 - 4i

#### Explanation:

When adding or subtracting complex numbers the following applies:

(a + bi ) + ( c + di ) = ( a + c ) + ( b + d )i ie. add/subtract the real

terms and do the same with the coefficients of the imaginary terms.

in this question 5 + 2 + 3i - 3 - 7i = (5 + 2 - 3 ) + (3 - 7 )i = 4 - 4i