展开 (-x^2+3)/((x^2+3)^2)

解答

展开

\frac{- x ^{2} + 3}{( x ^{2} + 3 ) ^{2}}

\frac{- x ^{2} + 3}{x ^{4} + 6 x ^{2} + 9}

求解步骤

\frac{- x ^{2} + 3}{( x ^{2} + 3 ) ^{2}}

(x^{2} + 3)^{2} = x^{4} + 6 x^{2} + 9

= \frac{- x ^{2} + 3}{x ^{4} + 6 x ^{2} + 9}

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

e x p an d \frac{2}{( s ( s + 1 ) ( s + 4 ) )}

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

s im pl i f y (a + 1 - a - 1)^{2}

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