Question

What is the product of (1 + i)(2 + i)?

Answer 1

Answer:

The product of given expression is (1+3i).

Step-by-step explanation:

The given expression is

$(1+i)(2+i)$

Using distributive property of multiplication, we get

$1(2+i)+i(2+i)$

Using distributive property of multiplication again.

$2+i+i(2)+i(i)$

$2+i+2i+i^2$

$2+i+2i-1$                                 $[\because i^2=-1]$

Combine like terms.

$(2-1)+(i+2i)$

$1+3i$

Therefore the product of given expression is (1+3i).

Answer 2

(1+i)(2+i)

2+1i+2i-1

your answer: [1 + 3i]

hope this helps