What is expand (x^3+4x^2)+(3x^2+12x)i ?

The solution to expand (x^3+4x^2)+(3x^2+12x)i is (x^3+4x^2)+(3x^2+12x)i

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expand (x^3+4x^2)+(3x^2+12x)i

expand

(x^{3} + 4 x^{2}) + (3 x^{2} + 12 x) i

(x^{3} + 4 x^{2}) + (3 x^{2} + 12 x) i

Solution steps

(x^{3} + 4 x^{2}) + (3 x^{2} + 12 x) i

Apply rule:

(a) = a

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

= x^{3} + 4 x^{2} + (3 x^{2} + 12 x) i

= x^{3} + 4 x^{2} + i (3 x^{2} + 12 x)

Expand

i (3 x^{2} + 12 x) : 3 x^{2} i + 12 x i

= x^{3} + 4 x^{2} + 3 x^{2} i + 12 x i

Rewrite in standard complex form:

(x^{3} + 4 x^{2}) + (3 x^{2} + 12 x) i

= (x^{3} + 4 x^{2}) + (3 x^{2} + 12 x) i

\frac{( 1 - e ^{- a t} )}{( z - 1 ) ( z - e ^{- a t} )}

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

(2 csc (x) - 1) \cdot (csc (x) + 1)

(2 x - 1 + x^{3})^{4}

((sin (x) - cos (x))) 2

What is expand (x^3+4x^2)+(3x^2+12x)i ?
The solution to expand (x^3+4x^2)+(3x^2+12x)i is (x^3+4x^2)+(3x^2+12x)i