展开 ((x-1)(x+2)(x-3))/(x(x-4)^2)

解答

展开

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

\frac{x ^{3} - 2 x ^{2} - 5 x + 6}{x ^{3} - 8 x ^{2} + 16 x}

求解步骤

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

(x - 4)^{2} = x^{2} - 8 x + 16

= \frac{( x - 1 ) ( x + 2 ) ( x - 3 )}{x ( x ^{2} - 8 x + 16 )}

乘开

x (x^{2} - 8 x + 16) : x^{3} - 8 x^{2} + 16 x

= \frac{( x - 1 ) ( x + 2 ) ( x - 3 )}{x ^{3} - 8 x ^{2} + 16 x}

乘开

(x - 1) (x + 2) (x - 3) : x^{3} - 2 x^{2} - 5 x + 6

= \frac{x ^{3} - 2 x ^{2} - 5 x + 6}{x ^{3} - 8 x ^{2} + 16 x}

e x p an d \frac{a \cdot ( s - b ) ( s - c )}{( s + a ) \cdot ( s + a + d )}

e x p an d \frac{2 ( 3 x ^{2} + 10 x + 30 )}{( 10 - x ^{2} ) ^{2}}

e x p an d \frac{x ( 9 - y )}{x ^{2} + 6}

e x p an d \frac{X ^{3} ( 1 + X + X ^{5} )}{1 + X + X ^{2}}

e x p an d (6 - 4 ln (3 - x))^{2}