What is expand (2(-8xy^4+6y^3))/((1-2xy)^3) ?

The solution to expand (2(-8xy^4+6y^3))/((1-2xy)^3) is (-16xy^4+12y^3)/(1-6xy+12x^2y^2-8x^3y^3)

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expand (2(-8xy^4+6y^3))/((1-2xy)^3)

expand

\frac{2 ( - 8 x y ^{4} + 6 y ^{3} )}{( 1 - 2 x y ) ^{3}}

\frac{- 16 x y ^{4} + 12 y ^{3}}{1 - 6 x y + 12 x ^{2} y ^{2} - 8 x ^{3} y ^{3}}

Solution steps

\frac{2 ( - 8 x y ^{4} + 6 y ^{3} )}{( 1 - 2 x y ) ^{3}}

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

= \frac{2 ( - 8 x y ^{4} + 6 y ^{3} )}{1 - 6 x y + 12 x ^{2} y ^{2} - 8 x ^{3} y ^{3}}

Expand

2 (- 8 x y^{4} + 6 y^{3}) : - 16 x y^{4} + 12 y^{3}

= \frac{- 16 x y ^{4} + 12 y ^{3}}{1 - 6 x y + 12 x ^{2} y ^{2} - 8 x ^{3} y ^{3}}

\frac{2 x ^{3} - x + 5}{2 ( x + 1 ) ( 2 x - 1 )}

(- x + 5 + 4)^{2}

(z + 20 i)^{2}

x + 5 \cdot (x + 5 - x - 5)

(x^{3} - (\frac{1}{x ^{2}}))^{5}

What is expand (2(-8xy^4+6y^3))/((1-2xy)^3) ?
The solution to expand (2(-8xy^4+6y^3))/((1-2xy)^3) is (-16xy^4+12y^3)/(1-6xy+12x^2y^2-8x^3y^3)