展开-(300(-3x^2-25))/((x^2-25)^3)

解答

展开

- \frac{300 ( - 3 x ^{2} - 25 )}{( x ^{2} - 25 ) ^{3}}

- \frac{- 900 x ^{2} - 7500}{x ^{6} - 75 x ^{4} + 1875 x ^{2} - 15625}

求解步骤

- \frac{300 ( - 3 x ^{2} - 25 )}{( x ^{2} - 25 ) ^{3}}

(x^{2} - 25)^{3} = x^{6} - 75 x^{4} + 1875 x^{2} - 15625

= - \frac{300 ( - 3 x ^{2} - 25 )}{x ^{6} - 75 x ^{4} + 1875 x ^{2} - 15625}

乘开

300 (- 3 x^{2} - 25) : - 900 x^{2} - 7500

= - \frac{- 900 x ^{2} - 7500}{x ^{6} - 75 x ^{4} + 1875 x ^{2} - 15625}

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

s im pl i f y (x - 25) (x + 25)

e x p an d β (x, y + 1)

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

e x p an d (6 + 2 cos (θ))^{2}