展开 1/((1+t^2)(t^2+s^2))

解答

展开

\frac{1}{( 1 + t ^{2} ) ( t ^{2} + s ^{2} )}

\frac{1}{t ^{2} + s ^{2} + t ^{4} + t ^{2} s ^{2}}

求解步骤

\frac{1}{( 1 + t ^{2} ) ( t ^{2} + s ^{2} )}

乘开

(1 + t^{2}) (t^{2} + s^{2}) : t^{2} + s^{2} + t^{4} + t^{2} s^{2}

= \frac{1}{t ^{2} + s ^{2} + t ^{4} + t ^{2} s ^{2}}

e x p an d (z + 3 z - 2)^{2}

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

s im pl i f y (3 x + 1 - 1) (3 x + 1 + 1)

e x p an d (3 m - 1) l e f t (2 m + 1)

e x p an d (1 + i) \cdot e^{\frac{i}{1 + i}}