Question

Multiply the following complex numbers: (7+2i)(2+3i)

Answer 1

When u multiply these two u should get 6i^2+25i+14.

Answer 2

`8+25i`

Explanation:

Given expression,

`(7+2i)(2+3i)`

`=7(2+3i) + 2i(2+3i)` ( Distributive property )

`=7(2) + 7(3i) + 2i(2) + 2i(3i)` ( Distributive property )

`=14+21i+4i+6i^2`

`=14+(21+4)i-6` ( i² = -1 )

`=14+25i-6`

`=8+25i`

Hence,

`(7+2i)(2+3i)=8+25i`