Question

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

Answer 1

here is the answer for this question!

Answer 2

`(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`