vereinfachen 1-(14(0.02x+1))/(x^3+25x^2+84.28x+14)

Lösung

vereinfachen

1 - \frac{14 ( 0.02 x + 1 )}{x ^{3} + 25 x ^{2} + 84.28 x + 14}

\frac{x ^{3} + 25 x ^{2} + 84 x}{x ^{3} + 25 x ^{2} + 84.28 x + 14}

Schritte zur Lösung

1 - \frac{14 ( 0.02 x + 1 )}{x ^{3} + 25 x ^{2} + 84.28 x + 14}

Wende Bruchregel an:

1 - \frac{b}{c} = \frac{c - b}{c}

= \frac{( x ^{3} + 25 x ^{2} + 84.28 x + 14 ) - 14 ( 0.02 x + 1 )}{x ^{3} + 25 x ^{2} + 84.28 x + 14}

Apply rule:

(a) = a

(x^{3} + 25 x^{2} + 84.28 x + 14) = x^{3} + 25 x^{2} + 84.28 x + 14

= \frac{x ^{3} + 25 x ^{2} + 84.28 x + 14 - 14 ( 0.02 x + 1 )}{x ^{3} + 25 x ^{2} + 84.28 x + 14}

Vereinfache

x^{3} + 25 x^{2} + 84.28 x + 14 - 14 (0.02 x + 1) : x^{3} + 25 x^{2} + 84 x

= \frac{x ^{3} + 25 x ^{2} + 84 x}{x ^{3} + 25 x ^{2} + 84.28 x + 14}

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

e x p an d \frac{( x ^{7} + 4 ) ^{7}}{128 x ^{14}}

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

e x p an d \frac{( 3 x - 1 ) ( 7 - 2 x )}{( 7 x ^{2} + 1 ) ( 10 x ^{3} - 1 )}

\frac{d}{d x} ((y) (x^{3} e^{2 x} + 1))