展开 9/(x(2x-3)^2)

解答

展开

\frac{9}{x ( 2 x - 3 ) ^{2}}

\frac{9}{4 x ^{3} - 12 x ^{2} + 9 x}

求解步骤

\frac{9}{x ( 2 x - 3 ) ^{2}}

(2 x - 3)^{2} = 4 x^{2} - 12 x + 9

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

乘开

x (4 x^{2} - 12 x + 9) : 4 x^{3} - 12 x^{2} + 9 x

= \frac{9}{4 x ^{3} - 12 x ^{2} + 9 x}

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