展开 (a^4-3b^2+1)/((a^2+b-1)(a^2-b-1))

解答

展开

\frac{a ^{4} - 3 b ^{2} + 1}{( a ^{2} + b - 1 ) ( a ^{2} - b - 1 )}

\frac{a ^{4} - 3 b ^{2} + 1}{a ^{4} - 2 a ^{2} - b ^{2} + 1}

求解步骤

\frac{a ^{4} - 3 b ^{2} + 1}{( a ^{2} + b - 1 ) ( a ^{2} - b - 1 )}

乘开

(a^{2} + b - 1) (a^{2} - b - 1) : a^{4} - 2 a^{2} - b^{2} + 1

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

e x p an d (2 a + c - d) y (2 a + c - e + 3)

s im pl i f y (\frac{a}{x - 2} + \frac{b}{x + 2}) (x - 2) (x + 2)

e x p an d p^{\frac{2}{3}} (p^{\frac{1}{3}} + 2 p^{\frac{7}{3}})

s im pl i f y (x + \frac{4}{5}) (x - \frac{2}{5})

e x p an d cos^{2} (t) (1 - t) (5 - t^{3})