展开-((z(z+2))/((z^2+z+1)^2))

解答

展开

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

- \frac{z ^{2} + 2 z}{z ^{4} + 2 z ^{3} + 3 z ^{2} + 2 z + 1}

求解步骤

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

去除括号:

(a) = a

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

(z^{2} + z + 1)^{2} = z^{4} + 2 z^{3} + 3 z^{2} + 2 z + 1

= - \frac{z ( z + 2 )}{z ^{4} + 2 z ^{3} + 3 z ^{2} + 2 z + 1}

乘开

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

= - \frac{z ^{2} + 2 z}{z ^{4} + 2 z ^{3} + 3 z ^{2} + 2 z + 1}

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

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

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

e x p an d 4 (1 + sin^{2} (3 x))^{3}

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