erweitern-(96(3.5-9x^2))/((3x^2+3.5)^3)

Lösung

erweitern

- \frac{96 ( 3.5 - 9 x ^{2} )}{( 3 x ^{2} + 3.5 ) ^{3}}

- \frac{336 - 864 x ^{2}}{27 x ^{6} + 94.5 x ^{4} + 110.25 x ^{2} + 42.875}

Schritte zur Lösung

- \frac{96 ( 3.5 - 9 x ^{2} )}{( 3 x ^{2} + 3.5 ) ^{3}}

(3 x^{2} + 3.5)^{3} = 27 x^{6} + 94.5 x^{4} + 110.25 x^{2} + 42.875

= - \frac{96 ( - 9 x ^{2} + 3.5 )}{27 x ^{6} + 94.5 x ^{4} + 110.25 x ^{2} + 42.875}

Multipliziere aus

96 (3.5 - 9 x^{2}) : 336 - 864 x^{2}

= - \frac{- 864 x ^{2} + 336}{27 x ^{6} + 94.5 x ^{4} + 110.25 x ^{2} + 42.875}

e x p an d f (x, z) (x^{3} y z^{2} + 2 yz)

e x p an d f (\frac{9}{8} - 2 e^{x})

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

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

s im pl i f y (x + i y)^{3} + 2 i (x + i y)^{2} + 5 (x + i y) + 2