What is expand i(x+iy)^2+3x+3iy ?

The solution to expand i(x+iy)^2+3x+3iy is (-2xy+3x)+(x^2-y^2+3y)i

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expand i(x+iy)^2+3x+3iy

expand

i (x + i y)^{2} + 3 x + 3 i y

(- 2 x y + 3 x) + (x^{2} - y^{2} + 3 y) i

Solution steps

i (x + i y)^{2} + 3 x + 3 i y

= i (x + i y)^{2} + 3 x + 3 y i

Expand

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

= x^{2} i - 2 x y - i y^{2} + 3 x + 3 y i

Rewrite in standard complex form:

(- 2 x y + 3 x) + (x^{2} - y^{2} + 3 y) i

= (- 2 x y + 3 x) + (x^{2} - y^{2} + 3 y) i

(6 x - 3 x^{2}) e^{x}

x e^{(x + y)^{2}}

\frac{d y}{d x}, x^{2} - y^{2} = 1

(1 + tan (x))^{4}

What is expand i(x+iy)^2+3x+3iy ?
The solution to expand i(x+iy)^2+3x+3iy is (-2xy+3x)+(x^2-y^2+3y)i