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

Answer:

$8+25i$

Step-by-step 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,

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