Question

Let u=2-8i, v=9+5i. w=-9+4i what is u-v-w ?

Answer 1

See details below

Explanation:

The sum over `CC` is defined by `(a+bi)+(c+di)=(a+c)+(b+d)i`

In our case:
`u-v-w=(2-8i)-(9+5i)-(-9+4i)=2-8i-9-5i+9-4i=2-17i`

Answer 2

Check the Answer

Explanation:

Put the values of u,v,w
`=(2-8i)-(9+5i)-(-9+4i)`
`=2-8i-9-5i+9-4i` (By opening brackets)
`=2-9+9-4i-5i-8i`
`=2-9i-8i`
`=2-17i`

Answer 3

`2-17i`

Explanation:

`"simplify and collect like terms"`

`rArru-v-w`

`=color(red)(2)color(blue)(-8i)-(color(red)(9)color(blue)(+5i))-(color(red)(-9)color(blue)(+4i))`

`=color(red)(2-9+9)color(blue)(-8i-5i-4i)`

`=2-17i`