Answer:
1 + 3i
Step-by-step explanation:
1(2+i)+i(2+i)
1*2+1i+i(2+i)
1*2+1i+2+ii
2+i+2i-1
1+i+2i
1+3i
Multiplication is the process of multiplying. The product (1+i)(2+i) is (1+3i).
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
The product (1+i)(2+i) can be done as,
(1+i)(2+i)
= 2 + i + 2i + i²
= 2+ 3i -1
= 1+3i
Hence, the product (1+i)(2+i) is (1+3i).
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