Question

Perform the indicated operation and write the result in the form . 2(i-14)-i(i+1)

Answer 1

i-27

Explanation:

We have given an expression .

2(i-14)-i(i+1)

We have to simplify it.

Distribute 2 over first parentheses and -i over second parentheses

2(i)+2(-14)+(-i)(i)+(-i)(1)

2i-28-i²-i

Since, we know that

i² = -1

2i-28-(-1)-i

2i-28+1-i

Add like terms

(2-1)i+(-28+1)

(1)i+(-27)

i-27 which is the answer.

Answer 2

The simplified form of given expression is -27+i.

Explanation:

The given expression is

`2(i-14)-i(i+1)`

Use distribution property, to simplify the given expression,

`2(i-14)-i(i+1)=2(i)-2(14)-i(i)-i(1)`

`2(i-14)-i(i+1)=2i-28-i^2-i`

`2(i-14)-i(i+1)=2i-28-(-1)-i`
`[\because i^2=-1]`

Combine like terms,

`2(i-14)-i(i+1)=(-28+1)+(2i-i)`

`2(i-14)-i(i+1)=-27+i`

Therefore the simplified form of given expression is -27+i.