展开 ((4(3x^3-1)))/((1+x^2)^3)

解答

展开

\frac{( 4 ( 3 x ^{3} - 1 ) )}{( 1 + x ^{2} ) ^{3}}

\frac{12 x ^{3} - 4}{1 + 3 x ^{2} + 3 x ^{4} + x ^{6}}

求解步骤

\frac{4 ( 3 x ^{3} - 1 )}{( 1 + x ^{2} ) ^{3}}

(1 + x^{2})^{3} = 1 + 3 x^{2} + 3 x^{4} + x^{6}

= \frac{4 ( 3 x ^{3} - 1 )}{1 + 3 x ^{2} + 3 x ^{4} + x ^{6}}

乘开

4 (3 x^{3} - 1) : 12 x^{3} - 4

= \frac{12 x ^{3} - 4}{1 + 3 x ^{2} + 3 x ^{4} + x ^{6}}

e x p an d \frac{s ^{2} - 25}{( s ^{2} + 25 ) ^{2}}

e x p an d \frac{5 ( k + 1 ) ( k + 2 )}{2}

e x p an d - \frac{1}{( x + 1 ) ( x - 1 ) ( x ^{2} + 1 )}

e x p an d \frac{x \cdot ( x - 1 ) \cdot ( x - 2 )}{6}

e x p an d (2 \cdot (- 3) y = - 1,) (k x + (k - 1) y - 2 (k + 2) = 0,)