What is expand (3x)/((2-x)(4+x^2)) ?

The solution to expand (3x)/((2-x)(4+x^2)) is (3x)/(8+2x^2-4x-x^3)

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expand (3x)/((2-x)(4+x^2))

expand

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

\frac{3 x}{8 + 2 x ^{2} - 4 x - x ^{3}}

Solution steps

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

Expand

(2 - x) (4 + x^{2}) : 8 + 2 x^{2} - 4 x - x^{3}

= \frac{3 x}{8 + 2 x ^{2} - 4 x - x ^{3}}

\frac{( 16 x ^{6} - 9 ) ^{2}}{576 x ^{6}}

\frac{7 n ^{2} + n ^{4} - 4 x ^{3}}{( x ^{4} + n ^{4} ) ^{2}}

\frac{( x ^{4} - 4 ) ^{2}}{16 x ^{4}}

Dr (π r^{2} + a r)

\frac{1}{( 1 + 5 x ) ^{4}}

What is expand (3x)/((2-x)(4+x^2)) ?
The solution to expand (3x)/((2-x)(4+x^2)) is (3x)/(8+2x^2-4x-x^3)