化简 (4(sqrt(2)s+10)(sqrt(2)s-80))/(s^2-3200)

解答

化简

\frac{4 ( 2 s + 10 ) ( 2 s - 80 )}{s ^{2} - 3200}

\frac{4 ( 2 s ^{2} - 70 2 s - 800 )}{s ^{2} - 3200}

求解步骤

\frac{4 ( 2 s + 10 ) ( 2 s - 80 )}{s ^{2} - 3200}

使用 FOIL 方法:

(a + b) (c + d) = a c + a d + b c + b d

(2 s + 10) (2 s - 80) = 2 s 2 s + 2 s (- 80) + 102 s + 10 (- 80)

= \frac{4 ( 2 s 2 s + 2 s ( - 80 ) + 10 2 s + 10 ( - 80 ) )}{s ^{2} - 3200}

化简

2 s 2 s + 2 s (- 80) + 102 s + 10 (- 80) : 2 s^{2} - 702 s - 800

= \frac{4 ( 2 s ^{2} - 70 2 s - 800 )}{s ^{2} - 3200}

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

e x p an d (x + Δ x)^{3} - 10 (x + Δ x)^{2} + 32 (x + Δ x) - 32

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

e x p an d \frac{( 3 x ( x + 6 ) ^{3} )}{3} - (x + 6)^{3}