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The standard form of (1 + i) (1 + 2i) is –
  • a)
    3 + i
  • b)
    – 3 + i
  • c)
    1 – 3i
  • d)
    – 1 + 3i
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The standard form of (1 + i) (1 + 2i) is –a)3 + ib)– 3 + i...
( 1 + i ) (1 + 2i )
=1 + 2i + i + 2i^2
=1 + 3i -2  ( Because i^2 = -1)
= -1 + 3i 
= a + ib = -1 + 3i
Here a = -1 and b = 3 
So the standard form of  (1 + i) (1 + 2i) is : 
-1 + 3i
So option D is correct answer. 
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Community Answer
The standard form of (1 + i) (1 + 2i) is –a)3 + ib)– 3 + i...
( 1 + i ) (1 + 2i )

=1 + 2i + i + 2i^2

=1 + 3i -2 ( Because i^2 = -1)

= -1 + 3i

= a + ib = -1 + 3i

Here a = -1 and b = 3

So the standard form of (1 + i) (1 + 2i) is :

-1 + 3i

So option D is correct answer.
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