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Complete the following exercises by applying polynomial identities to complex numbers. Show your work.
1. Find the product of (x + (3+5i))2

User Jackbijou
by
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1 Answer

2 votes

Answer:


(x + (3+5i))^2 = x^2 + 6x + (10x+30)i - 16

Explanation:

Complex numbers identity:

The complex numbers identity is:


i^2 = -1

Square of the sum:


(x + y)^2 = x^2 + 2xy + y^2

In this question:


(x + (3+5i))^2


x^2 + 2x(3+5i) + (3+5i)^2


x^2 + 6x + 10xi + 9 + 30i + 25i^2


x^2 + 6x + 9 + (10x+30)i - 25


x^2 + 6x + (10x+30)i - 16

So


(x + (3+5i))^2 = x^2 + 6x + (10x+30)i - 16

User Hardik
by
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