展开 ((x-3)^2(2x-3))/((x+2)(x-4))

解答

展开

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

\frac{2 x ^{3} - 15 x ^{2} + 36 x - 27}{x ^{2} - 2 x - 8}

求解步骤

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

(x - 3)^{2} = x^{2} - 6 x + 9

= \frac{( x ^{2} - 6 x + 9 ) ( 2 x - 3 )}{( x + 2 ) ( x - 4 )}

乘开

(x + 2) (x - 4) : x^{2} - 2 x - 8

= \frac{( x ^{2} - 6 x + 9 ) ( 2 x - 3 )}{x ^{2} - 2 x - 8}

乘开

(x^{2} - 6 x + 9) (2 x - 3) : 2 x^{3} - 15 x^{2} + 36 x - 27

= \frac{2 x ^{3} - 15 x ^{2} + 36 x - 27}{x ^{2} - 2 x - 8}

e x p an d \frac{x ^{3} - 6 x ^{2} + 12 x - 8}{x - 2}

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

e x p an d (- 1)^{3}

e x p an d (3 + 2 y + y^{2})^{5}

e x p an d \frac{3 s ^{3} + 4 s ^{2} + 36 s + 16}{( s ^{2} + 4 ) ( s ^{2} - 4 )}