What is expand (9x(4x-2y)^2)/(y^3) ?

The solution to expand (9x(4x-2y)^2)/(y^3) is (144x^3}{y^3}-(144x^2)/(y^2)+\frac{36x)/y

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expand (9x(4x-2y)^2)/(y^3)

expand

\frac{9 x ( 4 x - 2 y ) ^{2}}{y ^{3}}

\frac{144 x ^{3}}{y ^{3}} - \frac{144 x ^{2}}{y ^{2}} + \frac{36 x}{y}

Solution steps

\frac{9 x ( 4 x - 2 y ) ^{2}}{y ^{3}}

(4 x - 2 y)^{2} = 16 x^{2} - 16 x y + 4 y^{2}

= \frac{9 x ( 16 x ^{2} - 16 x y + 4 y ^{2} )}{y ^{3}}

Expand

9 x (16 x^{2} - 16 x y + 4 y^{2}) : 144 x^{3} - 144 x^{2} y + 36 x y^{2}

= \frac{144 x ^{3} - 144 x ^{2} y + 36 x y ^{2}}{y ^{3}}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{144 x ^{3} - 144 x ^{2} y + 36 x y ^{2}}{y ^{3}} = \frac{144 x ^{3}}{y ^{3}} - \frac{144 x ^{2} y}{y ^{3}} + \frac{36 x y ^{2}}{y ^{3}}

= \frac{144 x ^{3}}{y ^{3}} - \frac{144 x ^{2} y}{y ^{3}} + \frac{36 x y ^{2}}{y ^{3}}

Cancel

\frac{144 x ^{2} y}{y ^{3}} : \frac{144 x ^{2}}{y ^{2}}

= \frac{144 x ^{3}}{y ^{3}} - \frac{144 x ^{2}}{y ^{2}} + \frac{36 x y ^{2}}{y ^{3}}

Cancel

\frac{36 x y ^{2}}{y ^{3}} : \frac{36 x}{y}

= \frac{144 x ^{3}}{y ^{3}} - \frac{144 x ^{2}}{y ^{2}} + \frac{36 x}{y}

(a + b e - l) (c + d e - l) - (f + g e) (h + j e)

\frac{( s - 2 ) ^{2}}{( 1 - β ) ( 1 + β )}

\frac{( x - 2 ) ( x + 1 )}{x ^{2} + 5}

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

(1 + y^{2}) e^{y} - x

What is expand (9x(4x-2y)^2)/(y^3) ?
The solution to expand (9x(4x-2y)^2)/(y^3) is (144x^3}{y^3}-(144x^2)/(y^2)+\frac{36x)/y