展开 4/((u+1)^2(u^2+1))

解答

展开

\frac{4}{( u + 1 ) ^{2} ( u ^{2} + 1 )}

\frac{4}{u ^{4} + 2 u ^{2} + 2 u ^{3} + 2 u + 1}

求解步骤

\frac{4}{( u + 1 ) ^{2} ( u ^{2} + 1 )}

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

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

乘开

(u^{2} + 2 u + 1) (u^{2} + 1) : u^{4} + 2 u^{2} + 2 u^{3} + 2 u + 1

= \frac{4}{u ^{4} + 2 u ^{2} + 2 u ^{3} + 2 u + 1}

e x p an d \frac{( 2 x ^{2} - x - 6 ) ( 2 x + 3 )}{x - 1}

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

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

e x p an d - 3 - 3 (2 x + 79 + (- 5 x + 6) - 8 (1 - 2 x) - (x - 3) = 0)

e x p an d \frac{2000}{( x + 100 ) ^{3}}