erweitern (((x+3)^2(2x-3)))/((x+1)^2)

Lösung

erweitern

\frac{( ( x + 3 ) ^{2} ( 2 x - 3 ) )}{( x + 1 ) ^{2}}

\frac{2 x ^{3} + 9 x ^{2} - 27}{x ^{2} + 2 x + 1}

Schritte zur Lösung

\frac{( x + 3 ) ^{2} ( 2 x - 3 )}{( x + 1 ) ^{2}}

(x + 1)^{2} = x^{2} + 2 x + 1

= \frac{( x + 3 ) ^{2} ( 2 x - 3 )}{x ^{2} + 2 x + 1}

(x + 3)^{2} = x^{2} + 6 x + 9

= \frac{( x ^{2} + 6 x + 9 ) ( 2 x - 3 )}{x ^{2} + 2 x + 1}

Multipliziere aus

(x^{2} + 6 x + 9) (2 x - 3) : 2 x^{3} + 9 x^{2} - 27

= \frac{2 x ^{3} + 9 x ^{2} - 27}{x ^{2} + 2 x + 1}

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

e x p an d d t (3 t^{4} - 5 t^{6})

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

e x p an d \frac{2 ( 55 - 15 )}{5}

e x p an d \frac{2 x ^{2} + 20 x + 45}{( x + 2 ) \cdot ( x + 3 ) \cdot ( x + 4 )}