展开 ((x+2)(x+3)(x+4)(x+5))/((x+1)(x+6))

解答

展开

\frac{( x + 2 ) ( x + 3 ) ( x + 4 ) ( x + 5 )}{( x + 1 ) ( x + 6 )}

\frac{x ^{4} + 14 x ^{3} + 71 x ^{2} + 154 x + 120}{x ^{2} + 7 x + 6}

求解步骤

\frac{( x + 2 ) ( x + 3 ) ( x + 4 ) ( x + 5 )}{( x + 1 ) ( x + 6 )}

乘开

(x + 1) (x + 6) : x^{2} + 7 x + 6

= \frac{( x + 2 ) ( x + 3 ) ( x + 4 ) ( x + 5 )}{x ^{2} + 7 x + 6}

乘开

(x + 2) (x + 3) (x + 4) (x + 5) : x^{4} + 14 x^{3} + 71 x^{2} + 154 x + 120

= \frac{x ^{4} + 14 x ^{3} + 71 x ^{2} + 154 x + 120}{x ^{2} + 7 x + 6}

e x p an d (p + cos (qt) - e^{- t}) (θ (t - \frac{π}{2}))

e x p an d \frac{40 ( 4 cos ( 40 t ) + sin ( 40 t ) )}{17}

e x p an d \frac{2 - 2 x ^{2}}{( x ^{2} + 4 ) ( x + 8 )}

e x p an d (e^{- 2 t} - e^{- 3 t}) \frac{1}{2} (1 - e^{- 2 t})

e x p an d (sin (y) - sin (x)) d x + (cos (x) + x cos (y) - y) d y