展开 ((3x^2+7x))/(((x^2+1)(x^2+4)))

解答

展开

\frac{( 3 x ^{2} + 7 x )}{( ( x ^{2} + 1 ) ( x ^{2} + 4 ) )}

\frac{3 x ^{2} + 7 x}{x ^{4} + 5 x ^{2} + 4}

求解步骤

\frac{3 x ^{2} + 7 x}{( x ^{2} + 1 ) ( x ^{2} + 4 )}

乘开

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

= \frac{3 x ^{2} + 7 x}{x ^{4} + 5 x ^{2} + 4}

e x p an d \frac{4 x ^{2} - 9}{( x - 1 ) x}

e x p an d (\frac{y ^{2}}{2} + ln ∣ y ∣ + C) (3 x^{2} + C)

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

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

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