展开 ((x^3+5x^2+9x+7))/(((x+1)(x+2)))

解答

展开

\frac{( x ^{3} + 5 x ^{2} + 9 x + 7 )}{( ( x + 1 ) ( x + 2 ) )}

\frac{x ^{3} + 5 x ^{2} + 9 x + 7}{x ^{2} + 3 x + 2}

求解步骤

\frac{x ^{3} + 5 x ^{2} + 9 x + 7}{( x + 1 ) ( x + 2 )}

乘开

(x + 1) (x + 2) : x^{2} + 3 x + 2

= \frac{x ^{3} + 5 x ^{2} + 9 x + 7}{x ^{2} + 3 x + 2}

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

e x p an d \frac{8 ( 2 s + 24 )}{s ^{3} - 4 s ^{2} + 30 s + 333}

e x p an d \frac{5 x ^{2} - 2 x + 12}{( x + 2 ) ( x - 1 )}

e x p an d \frac{s ( s + 1 )}{( s ^{2} - 3 s + 15 ) ( s + 2 )}

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