展开 (2x^3-3x+1)/(3x^2-5x+2)

解答

展开

\frac{2 x ^{3} - 3 x + 1}{3 x ^{2} - 5 x + 2}

\frac{2 x ^{2} + 2 x - 1}{3 x - 2}

求解步骤

\frac{2 x ^{3} - 3 x + 1}{3 x ^{2} - 5 x + 2}

分解

2 x^{3} - 3 x + 1 : (x - 1) (2 x^{2} + 2 x - 1)

= \frac{( x - 1 ) ( 2 x ^{2} + 2 x - 1 )}{3 x ^{2} - 5 x + 2}

分解

3 x^{2} - 5 x + 2 : (3 x - 2) (x - 1)

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

约分:

x - 1

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

e x p an d \frac{2 ( 4302592 + 5 x ^{3} - 2 x )}{x}

e x p an d - \frac{2 ( 5 - 4 2 )}{7}

e x p an d e^{c o s (x)} (x + 3)

e x p an d \frac{y ^{3} ( - y ^{2} - x ^{2} )}{x ^{3} ( y + x ) ( x - y )}

e x p an d (t^{2}) (1 + e^{t})