展开 ((4x^2+5))/((x^2+1)(x^2+9))

解答

展开

\frac{( 4 x ^{2} + 5 )}{( x ^{2} + 1 ) ( x ^{2} + 9 )}

\frac{4 x ^{2} + 5}{x ^{4} + 10 x ^{2} + 9}

求解步骤

\frac{4 x ^{2} + 5}{( x ^{2} + 1 ) ( x ^{2} + 9 )}

乘开

(x^{2} + 1) (x^{2} + 9) : x^{4} + 10 x^{2} + 9

= \frac{4 x ^{2} + 5}{x ^{4} + 10 x ^{2} + 9}

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

e x p an d sin (e^{x} + x) (1 + cos (x))^{14}

e x p an d cos ((2 n - 1) π)

e x p an d \frac{( x + 1 ) ( x + 5 )}{9 x - 9}

e x p an d π (1 - X^{2})^{2}