展开 (5(4-3x^2))/((4+3x^2)^2)

解答

展开

\frac{5 ( 4 - 3 x ^{2} )}{( 4 + 3 x ^{2} ) ^{2}}

\frac{20 - 15 x ^{2}}{16 + 24 x ^{2} + 9 x ^{4}}

求解步骤

\frac{5 ( 4 - 3 x ^{2} )}{( 4 + 3 x ^{2} ) ^{2}}

(4 + 3 x^{2})^{2} = 16 + 24 x^{2} + 9 x^{4}

= \frac{5 ( - 3 x ^{2} + 4 )}{16 + 24 x ^{2} + 9 x ^{4}}

乘开

5 (4 - 3 x^{2}) : 20 - 15 x^{2}

= \frac{20 - 15 x ^{2}}{16 + 24 x ^{2} + 9 x ^{4}}

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