Question

Multiply and simply: (4 - 3i) (2 + i)

Answer 1

Explanation:

well, when 2 summed teens are multiplied, every part of one term is multiplied with every part of the other term :

(4 - 3i)(2 + i) = 8 + 4i - 6i - 3i² = 8 - 2i + 3 = 11 - 2i

Answer 2

11 - 2i

Explanation:

Given expression:

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

Expand:

`\implies 4(2+i)-3i(2+i)`

`\implies 8+4i-6i-3i^2`

`\implies 8-2i-3i^2`

Apply the imaginary number rule i² = -1 :

`\implies 8-2i-3(-1)`

Simplify:

`\implies 8-2i+3`

`\implies 11-2i`