What is expand (x^2y^2-3x)+i(2y^3+xy) ?

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

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expand (x^2y^2-3x)+i(2y^3+xy)

expand

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

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

Solution steps

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

Apply rule:

(a) = a

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

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

Expand

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

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

Rewrite in standard complex form:

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

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

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

lo g_{10} (3 x y)

(1 - 3 i)^{7}

(6 - x) e^{\frac{x}{3}}

\frac{1}{( 2 x + 1 ) ^{3}}

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