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

The solution to expand (3x^2-2x)/((2x-1)^{3/2)} is (3x^2)/((2x-1)^{3/2)}-(2x)/((2x-1)^{3/2)}

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expand (3x^2-2x)/((2x-1)^{3/2)}

expand

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

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

Solution steps

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

Apply the fraction rule:

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

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

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

t^{2} (a t + b) e^{t}

\frac{2 ( 3Δ x - 2 x - 1 )}{Δ x ( 1 - 2 x - 2Δ x ) ( 1 - 2 x )}

\frac{6 x ^{2} + 7 x - 3}{x ^{2} ( x + 5 )}

\frac{\partial}{\partial t} ((x) (a x - b x y))

(a \cdot b) + (c \cdot d) + (e \cdot f) + (g \cdot h)

What is expand (3x^2-2x)/((2x-1)^{3/2)} ?
The solution to expand (3x^2-2x)/((2x-1)^{3/2)} is (3x^2)/((2x-1)^{3/2)}-(2x)/((2x-1)^{3/2)}