展开-(12(-x^2+1))/((x^2+3)^3)

解答

展开

- \frac{12 ( - x ^{2} + 1 )}{( x ^{2} + 3 ) ^{3}}

- \frac{- 12 x ^{2} + 12}{x ^{6} + 9 x ^{4} + 27 x ^{2} + 27}

求解步骤

- \frac{12 ( - x ^{2} + 1 )}{( x ^{2} + 3 ) ^{3}}

(x^{2} + 3)^{3} = x^{6} + 9 x^{4} + 27 x^{2} + 27

= - \frac{12 ( - x ^{2} + 1 )}{x ^{6} + 9 x ^{4} + 27 x ^{2} + 27}

乘开

12 (- x^{2} + 1) : - 12 x^{2} + 12

= - \frac{- 12 x ^{2} + 12}{x ^{6} + 9 x ^{4} + 27 x ^{2} + 27}

e x p an d (2 y - x)^{3} + e^{2 x + 3 y} - 5 ln (y)

s im pl i f y (2 x 2 + y) (2 x 2 - y)

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

e x p an d \frac{( ( 3 x ^{2} - 5 y ^{2} ) ( x ^{2} + y ^{2} ) )}{4 x ^{2} y ^{2}}

s im pl i f y (3 - x + 3)^{2}