What is expand-(5x-1)/(x(x-1)^2(2x+3)) ?

The solution to expand-(5x-1)/(x(x-1)^2(2x+3)) is -(5x-1)/(2x^4-x^3-4x^2+3x)

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expand-(5x-1)/(x(x-1)^2(2x+3))

expand

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

- \frac{5 x - 1}{2 x ^{4} - x ^{3} - 4 x ^{2} + 3 x}

Solution steps

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

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

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

Expand

x (x^{2} - 2 x + 1) (2 x + 3) : 2 x^{4} - x^{3} - 4 x^{2} + 3 x

= - \frac{5 x - 1}{2 x ^{4} - x ^{3} - 4 x ^{2} + 3 x}

\frac{1}{( x + 1 ) ( - x + 1 )}

A (- 2, - 4) y B (5, 4)

(1 + y) d y

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

P (6, 6) Q (5, - 5)

What is expand-(5x-1)/(x(x-1)^2(2x+3)) ?
The solution to expand-(5x-1)/(x(x-1)^2(2x+3)) is -(5x-1)/(2x^4-x^3-4x^2+3x)