What is expand (x+ix^2)^2-2(x+ix^2) ?

The solution to expand (x+ix^2)^2-2(x+ix^2) is (x^2-x^4-2x)+(2x^3-2x^2)i

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expand (x+ix^2)^2-2(x+ix^2)

expand

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

(x^{2} - x^{4} - 2 x) + (2 x^{3} - 2 x^{2}) i

Solution steps

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

Expand

(x + i x^{2})^{2} : x^{2} + 2 x^{3} i - x^{4}

= x^{2} + 2 x^{3} i - x^{4} - 2 (x + i x^{2})

Expand

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

= x^{2} + 2 x^{3} i - x^{4} - 2 x - 2 x^{2} i

Rewrite in standard complex form:

(x^{2} - x^{4} - 2 x) + (2 x^{3} - 2 x^{2}) i

= (x^{2} - x^{4} - 2 x) + (2 x^{3} - 2 x^{2}) i

3 (1 + cos (x))

f^{'} (x) (2 x - 9)^{3}

(cos (2 x) - 1) (x + arcsin^{2} (x))

\frac{( y ^{2} + 1 ) ( y ^{4} - y ^{2} + 1 )}{2 y ^{3}}

- \frac{120}{( 3 - 1 ) ^{6}} - cos (3 - 1)

What is expand (x+ix^2)^2-2(x+ix^2) ?
The solution to expand (x+ix^2)^2-2(x+ix^2) is (x^2-x^4-2x)+(2x^3-2x^2)i