Question

Which expression is equivalent to (4 + 7i)(3 + 4i)?

Answer 1

A

Explanation:

Answer 2

we have

`(4+7i)(3+4i)`

remember that

`i^(2) =-1`

Applying the distributive property

`(4+7i)(3+4i)=4*3+4*4i+7i*3+7i*4i \\=12+16i+21i+28 i^(2)\\= 12+37i+28*(-1) \\=12-28+37i\\=-16+37i`

therefore

the answer is

`-16+37i`