erweitern (120(-x^2+4))/((x^2+x+4)^2)

Lösung

erweitern

\frac{120 ( - x ^{2} + 4 )}{( x ^{2} + x + 4 ) ^{2}}

\frac{- 120 x ^{2} + 480}{x ^{4} + 2 x ^{3} + 9 x ^{2} + 8 x + 16}

Schritte zur Lösung

\frac{120 ( - x ^{2} + 4 )}{( x ^{2} + x + 4 ) ^{2}}

(x^{2} + x + 4)^{2} = x^{4} + 2 x^{3} + 9 x^{2} + 8 x + 16

= \frac{120 ( - x ^{2} + 4 )}{x ^{4} + 2 x ^{3} + 9 x ^{2} + 8 x + 16}

Multipliziere aus

120 (- x^{2} + 4) : - 120 x^{2} + 480

= \frac{- 120 x ^{2} + 480}{x ^{4} + 2 x ^{3} + 9 x ^{2} + 8 x + 16}

e x p an d \frac{sin ( b ) - cot ( b ) ( 1 + cos ( b ) )}{1 + cos ( b )}

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

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

e x p an d (sec (θ) - tan (θ)) (sec (θ) + tan (θ))^{2}

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