展开-(5x-1)/(x(x-1)^2(2x+3))

解答

展开

- \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}

求解步骤

- \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 )}

乘开

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}

e x p an d \frac{1}{( x + 1 ) ( - x + 1 )}

e x p an d A (- 2, - 4) y B (5, 4)

e x p an d (1 + y) d y

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

e x p an d P (6, 6) Q (5, - 5)