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Popular >

simplify (x+iy)^2+1

Solution

simplify

(x + i y)^{2} + 1

Solution

(x^{2} - y^{2} + 1) + 2 x y i

Solution steps

(x + i y)^{2} + 1

Expand

(x + i y)^{2} : x^{2} + 2 x y i - y^{2}

= x^{2} + 2 x y i - y^{2} + 1

Rewrite in standard complex form:

(x^{2} - y^{2} + 1) + 2 x y i

= (x^{2} - y^{2} + 1) + 2 x y i

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Frequently Asked Questions (FAQ)

What is (x+iy)^2+1 ?
The solution to (x+iy)^2+1 is (x^2-y^2+1)+2xyi