展开 (5z^2+2z+3)/((z+2)(z-1))

解答

展开

\frac{5 z ^{2} + 2 z + 3}{( z + 2 ) ( z - 1 )}

\frac{5 z ^{2} + 2 z + 3}{z ^{2} + z - 2}

求解步骤

\frac{5 z ^{2} + 2 z + 3}{( z + 2 ) ( z - 1 )}

乘开

(z + 2) (z - 1) : z^{2} + z - 2

= \frac{5 z ^{2} + 2 z + 3}{z ^{2} + z - 2}

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

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

e x p an d \frac{2 x ^{3} - 3 x ^{2} + 5 x}{( x ^{2} + 2 ) ( x - 3 )}

e x p an d (2 x t + 4 x + 3 y) d x + (x^{2} + 3 x) d y

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