Question

Simplify the expression (5-5i)-(-6-3i)

How do I solve this? Either teach me how, or help me with a few other simmilar ones.

Answer 1

The simplify form of given expression is 11-2i.

Explanation:

The given expression is

`(5-5i)-(-6-3i)`

Using distributive property, we get

`5-5i-(-6)-(-3i)`

`5-5i+6+3i`

Combined real and imaginary parts.

`(5+6)+(-5i+3i)`

`11+(-2i)`

`11-2i`

Therefore the simplify form of given expression is 11-2i.

Answer 2

Answer: Simplifying the expression of the substraction of the two complex numbers we get 11-2i

Solution:

(5-5i)-(-6-3i)

Eliminating the parentheses: 5-5i+6+3i

Grouping similar terms: (5+6)+(-5+3)i

Adding the similar terms: 11+(-2)i = 11-2i