展开 (200(1-α)^2)/((2-α)(5-3α))

解答

展开

\frac{200 ( 1 - α ) ^{2}}{( 2 - α ) ( 5 - 3 α )}

\frac{200 - 400 α + 200 α ^{2}}{10 - 11 α + 3 α ^{2}}

求解步骤

\frac{200 ( 1 - α ) ^{2}}{( 2 - α ) ( 5 - 3 α )}

(1 - α)^{2} = 1 - 2 α + α^{2}

= \frac{200 ( α ^{2} - 2 α + 1 )}{( - α + 2 ) ( - 3 α + 5 )}

乘开

(2 - α) (5 - 3 α) : 10 - 11 α + 3 α^{2}

= \frac{200 ( α ^{2} - 2 α + 1 )}{10 - 11 α + 3 α ^{2}}

乘开

200 (1 - 2 α + α^{2}) : 200 - 400 α + 200 α^{2}

= \frac{200 - 400 α + 200 α ^{2}}{10 - 11 α + 3 α ^{2}}

e x p an d \frac{4}{( s - 1 ) ( s ^{2} + 1 )}

e x p an d (- 301 F^{\circ} - 32) (\frac{5}{9})

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

e x p an d \frac{( - 24 x ^{2} + 12 x - 15 ) ( 4 x - 1 )}{16}

e x p an d (2 x - 3 y) (\frac{1}{2}, \frac{3}{2})