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

The solution to expand ((1-3x)^3)/((1+2x)^2) is (1-9x+27x^2-27x^3)/(1+4x+4x^2)

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

expand

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

\frac{1 - 9 x + 27 x ^{2} - 27 x ^{3}}{1 + 4 x + 4 x ^{2}}

Solution steps

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

(1 + 2 x)^{2} = 1 + 4 x + 4 x^{2}

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

(1 - 3 x)^{3} = 1 - 9 x + 27 x^{2} - 27 x^{3}

= \frac{1 - 9 x + 27 x ^{2} - 27 x ^{3}}{1 + 4 x + 4 x ^{2}}

\frac{6 x + 3}{x ^{2} ( x ^{2} - 4 )}

\frac{e ^{- t}}{( 1 + e ^{- t} ) ^{2}}

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

\frac{100 ( 2400 s + 2500 )}{6 s + 2.5}

\frac{12 ( 17 z - 5 )}{( 3 z - 1 ) ( 4 z - 1 )}

What is expand ((1-3x)^3)/((1+2x)^2) ?
The solution to expand ((1-3x)^3)/((1+2x)^2) is (1-9x+27x^2-27x^3)/(1+4x+4x^2)