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24 votes
24 votes
Can you please help me simplify (1+4i)^2

User Koeno
by
2.8k points

1 Answer

29 votes
29 votes

Answer:

−15+8i

Step-by-step explanation:

First, you can expand the square of the bynomial:

(1+4i)2=1+8i+16i2

Since

i2=−1

the given expression becomes:

1+8i−16=−15+8i

User Siana
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3.1k points