展开 ((-2x-10)(3-x))/((x^2+5)(x-2)^2)

解答

展开

\frac{( - 2 x - 10 ) ( 3 - x )}{( x ^{2} + 5 ) ( x - 2 ) ^{2}}

\frac{2 x ^{2} + 4 x - 30}{x ^{4} - 4 x ^{3} + 9 x ^{2} - 20 x + 20}

求解步骤

\frac{( - 2 x - 10 ) ( 3 - x )}{( x ^{2} + 5 ) ( x - 2 ) ^{2}}

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

= \frac{( - 2 x - 10 ) ( - x + 3 )}{( x ^{2} + 5 ) ( x ^{2} - 4 x + 4 )}

乘开

(x^{2} + 5) (x^{2} - 4 x + 4) : x^{4} - 4 x^{3} + 9 x^{2} - 20 x + 20

= \frac{( - 2 x - 10 ) ( - x + 3 )}{x ^{4} - 4 x ^{3} + 9 x ^{2} - 20 x + 20}

乘开

(- 2 x - 10) (3 - x) : 2 x^{2} + 4 x - 30

= \frac{2 x ^{2} + 4 x - 30}{x ^{4} - 4 x ^{3} + 9 x ^{2} - 20 x + 20}

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

e x p an d \frac{x ^{2} + 10 x - 36}{x ( x - 3 ) ^{2}}

s im pl i f y (x + 1) (x - 4) (x + \frac{1}{2}) (x - \frac{4}{3})

s im pl i f y (w - \frac{5}{7}) (w - \frac{3}{4})

e x p an d \frac{1}{5} (10 x - 25)