展开 ((0.48+2x)^2)/((0.6-x)(0.76-3x)^3)

解答

展开

\frac{( 0.48 + 2 x ) ^{2}}{( 0.6 - x ) ( 0.76 - 3 x ) ^{3}}

\frac{0.2304 + 1.92 x + 4 x ^{2}}{27 x ^{4} - 36.72 x ^{3} + 17.5104 x ^{2} - 3.558016 x + 0.2633856}

求解步骤

\frac{( 0.48 + 2 x ) ^{2}}{( 0.6 - x ) ( 0.76 - 3 x ) ^{3}}

(0.76 - 3 x)^{3} = 0.438976 - 5.1984 x + 20.52 x^{2} - 27 x^{3}

= \frac{( 0.48 + 2 x ) ^{2}}{( - x + 0.6 ) ( - 27 x ^{3} + 20.52 x ^{2} - 5.1984 x + 0.438976 )}

(0.48 + 2 x)^{2} = 0.2304 + 1.92 x + 4 x^{2}

= \frac{0.2304 + 1.92 x + 4 x ^{2}}{( - x + 0.6 ) ( - 27 x ^{3} + 20.52 x ^{2} - 5.1984 x + 0.438976 )}

乘开

(0.6 - x) (0.438976 - 5.1984 x + 20.52 x^{2} - 27 x^{3}) : 27 x^{4} - 36.72 x^{3} + 17.5104 x^{2} - 3.558016 x + 0.2633856

= \frac{0.2304 + 1.92 x + 4 x ^{2}}{27 x ^{4} - 36.72 x ^{3} + 17.5104 x ^{2} - 3.558016 x + 0.2633856}

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