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

2 Answers
Jan 31, 2016

Explanation is given below

Explanation:

To simplify #(2+3i)-(-4-4i)#
Start by opening up the parenthesis

#=2+3i-(-4)-(-4i) quad#distribute the negative
#=2+3i+4+4i quad# #"negative" xx "negative" =" positive"#

Collect the real parts together and do the same for imaginary parts.

#=2+4+3i+4i#

#=6+7i#

Jan 31, 2016

6 + 7i

Explanation:

When adding complex numbers : add the real parts together and

add the imaginary parts together.

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

so ( 2 + 3i ) - ( -4 - 4i ) = 2 + 3i + 4 + 4i = 6 + 7i