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Simplify 4 over the quantity of negative 2 minus 2i.

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Simplify 4 over the quantity of negative 2 minus 2i.-example-1
User Firouziam
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2 votes

Answer:


(4)/(-2-2i)=-1+i

Explanation:

Given : Expression 4 over the quantity of negative 2 minus 2i.

To find : Simplify the expression ?

Solution :

Re-write the expression as

4 over the quantity of negative 2 minus 2i i.e.
(4)/(-2-2i)

We solve the expression by rationalization,

Rationalize by denominator,


=(4)/(-2-2i)* (-2+2i)/(-2+2i)

Multiply, applying
(a+b)(a-b)=a^2-b^2


=(4(-2+2i))/((-2)^2-(2i)^2))


=(-8+8i)/(4-4i^2)


=(8(-1+i))/(4+4)


=(8(-1+i))/(8)


=(-1+i)

Therefore, The solution is
(4)/(-2-2i)=-1+i

User Elhoej
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