3 years ago

Factor over the complex numbers, if possible: x² + 2xyi - y2 What is the answer?

Mathematics

1 answer:

yanalaym [24]3 years ago

8 0

9514 1404 393

Answer:

(x +yi)²

Step-by-step explanation:

Comparing the given expression to the square of a binomial, we can determine the given expression to be a square.

(a +b)² = a² +2ab +b²

Here, we have a=x and b=yi. Then the factorization is ...

x² +2xyi +(yi)² = (x +yi)²

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