展开 ((4x^2+6x))/((x^2+1)(x^2+4))

解答

展开

\frac{( 4 x ^{2} + 6 x )}{( x ^{2} + 1 ) ( x ^{2} + 4 )}

\frac{4 x ^{2} + 6 x}{x ^{4} + 5 x ^{2} + 4}

求解步骤

\frac{4 x ^{2} + 6 x}{( x ^{2} + 1 ) ( x ^{2} + 4 )}

乘开

(x^{2} + 1) (x^{2} + 4) : x^{4} + 5 x^{2} + 4

= \frac{4 x ^{2} + 6 x}{x ^{4} + 5 x ^{2} + 4}

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

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

e x p an d \frac{s ^{2} + 5 - e ^{- s}}{s ( s ^{2} + 9 )}

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

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