展开 ((As)+B)/((s^2+1)^2)+((Cs)+D)/(s^2+1)

解答

展开

\frac{( A s ) + B}{( s ^{2} + 1 ) ^{2}} + \frac{( C s ) + D}{s ^{2} + 1}

\frac{A s + B}{s ^{4} + 2 s ^{2} + 1} + \frac{C s + D}{s ^{2} + 1}

求解步骤

\frac{( A s ) + B}{( s ^{2} + 1 ) ^{2}} + \frac{( C s ) + D}{s ^{2} + 1}

去除括号:

(a) = a

= \frac{A s + B}{( s ^{2} + 1 ) ^{2}} + \frac{C s + D}{s ^{2} + 1}

(s^{2} + 1)^{2} = s^{4} + 2 s^{2} + 1

= \frac{A s + B}{s ^{4} + 2 s ^{2} + 1} + \frac{C s + D}{s ^{2} + 1}

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

e x p an d q (200 - 200 q - b q)^{2}

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e x p an d (cos (x^{2} - 1))^{2}

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