erweitern ((x+1)^2)/((x+2)^4)

Lösung

erweitern

\frac{( x + 1 ) ^{2}}{( x + 2 ) ^{4}}

\frac{x ^{2} + 2 x + 1}{x ^{4} + 8 x ^{3} + 24 x ^{2} + 32 x + 16}

Schritte zur Lösung

\frac{( x + 1 ) ^{2}}{( x + 2 ) ^{4}}

(x + 2)^{4} = x^{4} + 8 x^{3} + 24 x^{2} + 32 x + 16

= \frac{( x + 1 ) ^{2}}{x ^{4} + 8 x ^{3} + 24 x ^{2} + 32 x + 16}

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

= \frac{x ^{2} + 2 x + 1}{x ^{4} + 8 x ^{3} + 24 x ^{2} + 32 x + 16}

e x p an d \frac{2 x + 2}{( x + 10 ) ( x + 4 )}

e x p an d \frac{24}{s ( s ^{2} + 10 s + 24 )}

e x p an d (6 e ln (3) + 2)^{2} π

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

e x p an d \frac{( 3 b - 3 ) 3}{2 b ^{9}}