展开 ((x+0.3))/((2x+0.4)(2x+0.3)^3)

解答

展开

\frac{( x + 0.3 )}{( 2 x + 0.4 ) ( 2 x + 0.3 ) ^{3}}

\frac{x + 0.3}{16 x ^{4} + 10.4 x ^{3} + 2.52 x ^{2} + 0.27 x + 0.0108}

求解步骤

\frac{x + 0.3}{( 2 x + 0.4 ) ( 2 x + 0.3 ) ^{3}}

(2 x + 0.3)^{3} = 8 x^{3} + 3.6 x^{2} + 0.54 x + 0.027

= \frac{x + 0.3}{( 2 x + 0.4 ) ( 8 x ^{3} + 3.6 x ^{2} + 0.54 x + 0.027 )}

乘开

(2 x + 0.4) (8 x^{3} + 3.6 x^{2} + 0.54 x + 0.027) : 16 x^{4} + 10.4 x^{3} + 2.52 x^{2} + 0.27 x + 0.0108

= \frac{x + 0.3}{16 x ^{4} + 10.4 x ^{3} + 2.52 x ^{2} + 0.27 x + 0.0108}

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