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

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

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

expand

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

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

Solution steps

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

Expand

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

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

Expand

- 2 (x + i y) : - 2 x - 2 y i

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

Rewrite in standard complex form:

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

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

(37 x - 3) (27 x + 2)

lo g_{10} (ab)

- \frac{( 2 x - 5 ) x ^{- 11 x + 32}}{5 ( x - 6 )}

(x - 3) y^{''} (x) + 3 y^{'} (x) + 5 y

(x - \frac{1}{2}) (x^{2} - x + \frac{1}{6})

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