展开 ((x^3+7x+10)(x+5))/((x+2)(x^2+8x+12))

解答

展开

\frac{( x ^{3} + 7 x + 10 ) ( x + 5 )}{( x + 2 ) ( x ^{2} + 8 x + 12 )}

\frac{x ^{4} + 5 x ^{3} + 7 x ^{2} + 45 x + 50}{x ^{3} + 10 x ^{2} + 28 x + 24}

求解步骤

\frac{( x ^{3} + 7 x + 10 ) ( x + 5 )}{( x + 2 ) ( x ^{2} + 8 x + 12 )}

乘开

(x + 2) (x^{2} + 8 x + 12) : x^{3} + 10 x^{2} + 28 x + 24

= \frac{( x ^{3} + 7 x + 10 ) ( x + 5 )}{x ^{3} + 10 x ^{2} + 28 x + 24}

乘开

(x^{3} + 7 x + 10) (x + 5) : x^{4} + 5 x^{3} + 7 x^{2} + 45 x + 50

= \frac{x ^{4} + 5 x ^{3} + 7 x ^{2} + 45 x + 50}{x ^{3} + 10 x ^{2} + 28 x + 24}

\frac{\partial}{\partial y} ((x) (- 2 x^{2} + y^{2}))

e x p an d \frac{e ^{z}}{( z ) ( 1 + z ) ^{3}}

e x p an d \frac{24 e ^{- 5 s}}{( s - 3 ) ( s + 3 )}

e x p an d \frac{- 9 x ^{2} + 144 x - 576}{2} + 5 x^{2} - 80 x + 320

e x p an d - \frac{3 ( 1 + 249 )}{20}