展开 (18(-x^2+1))/((x^2+3)^3)

解答

展开

\frac{18 ( - x ^{2} + 1 )}{( x ^{2} + 3 ) ^{3}}

\frac{- 18 x ^{2} + 18}{x ^{6} + 9 x ^{4} + 27 x ^{2} + 27}

求解步骤

\frac{18 ( - x ^{2} + 1 )}{( x ^{2} + 3 ) ^{3}}

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

= \frac{18 ( - x ^{2} + 1 )}{x ^{6} + 9 x ^{4} + 27 x ^{2} + 27}

乘开

18 (- x^{2} + 1) : - 18 x^{2} + 18

= \frac{- 18 x ^{2} + 18}{x ^{6} + 9 x ^{4} + 27 x ^{2} + 27}

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