erweitern-((2x^2+5x+9)/((x^2+7)(x-1)))

Lösung

erweitern

- (\frac{2 x ^{2} + 5 x + 9}{( x ^{2} + 7 ) ( x - 1 )})

- \frac{2 x ^{2} + 5 x + 9}{x ^{3} - x ^{2} + 7 x - 7}

Schritte zur Lösung

- (\frac{2 x ^{2} + 5 x + 9}{( x ^{2} + 7 ) ( x - 1 )})

Entferne die Klammern:

(a) = a

= - \frac{2 x ^{2} + 5 x + 9}{( x ^{2} + 7 ) ( x - 1 )}

Multipliziere aus

(x^{2} + 7) (x - 1) : x^{3} - x^{2} + 7 x - 7

= - \frac{2 x ^{2} + 5 x + 9}{x ^{3} - x ^{2} + 7 x - 7}

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

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

e x p an d ln (1 - x) (1 + x) - ln (1 + x) (1 + x)

e x p an d f (z) (\frac{ln ( 4 x y )}{z ^{2}} + sin (x y^{2} + y e^{z}))

e x p an d \frac{36 x y 2 ^{2}}{12 x y ^{2}}