展开 (4x^2)/((x+1)^2(x-1))

解答

展开

\frac{4 x ^{2}}{( x + 1 ) ^{2} ( x - 1 )}

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

求解步骤

\frac{4 x ^{2}}{( x + 1 ) ^{2} ( x - 1 )}

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

= \frac{4 x ^{2}}{( x ^{2} + 2 x + 1 ) ( x - 1 )}

乘开

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

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

e x p an d - \frac{x + 1}{( y - 1 ) ^{2}}

e x p an d \frac{( o - Tw )}{( 1 + r ) ( 1 - T )}

e x p an d a (4 -, 3, 1) b (- 2, 4, - 1)

e x p an d A (6, - 1) B (- 8, - 1)

e x p an d 2 \cdot (1 - pt (1.797, 87))