What is expand (1+6x)/((1+2x)^3) ?

The solution to expand (1+6x)/((1+2x)^3) is (1+6x)/(1+6x+12x^2+8x^3)

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expand (1+6x)/((1+2x)^3)

expand

\frac{1 + 6 x}{( 1 + 2 x ) ^{3}}

\frac{1 + 6 x}{1 + 6 x + 12 x ^{2} + 8 x ^{3}}

Solution steps

\frac{1 + 6 x}{( 1 + 2 x ) ^{3}}

(1 + 2 x)^{3} = 1 + 6 x + 12 x^{2} + 8 x^{3}

= \frac{1 + 6 x}{1 + 6 x + 12 x ^{2} + 8 x ^{3}}

(t - \frac{2}{t ^{2}})^{3}

\frac{1}{( s + 1 ) ( s + 3 )}

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

t^{\frac{5}{2}} (t^{2} - 10 t + 16)

\frac{s + 4}{s ( s + 0.5 ) ( s + 1 ) ( s ^{2} + 0.4 s + 4 )}

What is expand (1+6x)/((1+2x)^3) ?
The solution to expand (1+6x)/((1+2x)^3) is (1+6x)/(1+6x+12x^2+8x^3)