What is expand (3x^2)/((1-3x)(2+x)^2) ?

The solution to expand (3x^2)/((1-3x)(2+x)^2) is (3x^2)/(-3x^3-11x^2-8x+4)

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expand (3x^2)/((1-3x)(2+x)^2)

expand

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

\frac{3 x ^{2}}{- 3 x ^{3} - 11 x ^{2} - 8 x + 4}

Solution steps

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

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

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

Expand

(1 - 3 x) (4 + 4 x + x^{2}) : - 3 x^{3} - 11 x^{2} - 8 x + 4

= \frac{3 x ^{2}}{- 3 x ^{3} - 11 x ^{2} - 8 x + 4}

\frac{( - 3 x - 2 ) h + 3 x + 2}{h}

\frac{( b ^{2} + a ^{2} ) ( b + a )}{2 ( b ^{2} + ba + a ^{2} )}

f (x y) 5 (2 x + y - 3)^{2}

\frac{d}{d x} ((1 - x) cos (x)) + 2 x^{2} sin (x)

(- 12 y - 4 z = 16) 4

What is expand (3x^2)/((1-3x)(2+x)^2) ?
The solution to expand (3x^2)/((1-3x)(2+x)^2) is (3x^2)/(-3x^3-11x^2-8x+4)