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

The solution to expand (4x^3-2xy^3)/(y^2(3x^2+4y)) is (4x^3-2xy^3)/(3x^2y^2+4y^3)

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expand (4x^3-2xy^3)/(y^2(3x^2+4y))

expand

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

\frac{4 x ^{3} - 2 x y ^{3}}{3 x ^{2} y ^{2} + 4 y ^{3}}

Solution steps

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

Expand

y^{2} (3 x^{2} + 4 y) : 3 x^{2} y^{2} + 4 y^{3}

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

\frac{1}{( 3 - 4 x ) \cdot ( 3 + 4 x )}

(5 x^{3} + 3 x^{2}) \cdot 10 (- 4 x + 5)^{9}

(x x + x^{2} + y^{2}) d x + 2 y x d y

(1 + y^{2} + x y) d x + (x^{2} y + y + 2 x y) d y

(- 5)^{3}

What is expand (4x^3-2xy^3)/(y^2(3x^2+4y)) ?
The solution to expand (4x^3-2xy^3)/(y^2(3x^2+4y)) is (4x^3-2xy^3)/(3x^2y^2+4y^3)