What is (x-iy)^2(x+iy) ?

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

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simplify (x-iy)^2(x+iy)

simplify

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

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

Solution steps

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

Expand

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

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

Distribute parentheses

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

Simplify

x^{2} x + x^{2} i y - 2 x y i x - 2 x y ii y - y^{2} x - y^{2} i y : x^{3} - x^{2} y i + x y^{2} - i y^{3}

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

Rewrite in standard complex form:

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

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

(3 j t + k t^{2}) + (3 t + 1) i

x ln (x - 7)

(- 3, - 2) y (4, - 2)

(x - 2 + 7)^{2}

(\frac{p}{2} + q + h) \cdot (1 - x)

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