Question

Simplify14. (5-2)(4 + 31)20 - 81 - 612b. 26 + 7i20 + 4i

Answer 1

`(5-2i)(4+3i)`

At first, we multiply 5 by 4

`5*4=20`

Then multiply 5 by 3i

`5*3i=15i`

Then multiply -2i by 4

`-2i*4=-8i`

Then multiply -2i by 3i

`-2i*3i=-6i^2`

Since i^2 = -1, then we will multiply -6 by -1

`-2i*3i=-6i^2=-6*-1=6`

Now, we will add the terms

`20+15i-8i+6`

Then we will add the like terms

`20+15i-8i+6=(20+6)+(15i-8i)=26+7i`

So the answer is b