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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.

Respuesta :

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

Answer:

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

Step-by-step explanation:

The given expression is

[tex](5-5i)-(-6-3i)[/tex]

Using distributive property, we get

[tex]5-5i-(-6)-(-3i)[/tex]

[tex]5-5i+6+3i[/tex]

Combined real and imaginary parts.

[tex](5+6)+(-5i+3i)[/tex]

[tex]11+(-2i)[/tex]

[tex]11-2i[/tex]

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

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