vereinfachen (1/((x+2)^2)+1)(x+1)

Lösung

vereinfachen

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

\frac{( x ^{2} + 4 x + 5 ) ( x + 1 )}{( x + 2 ) ^{2}}

Schritte zur Lösung

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

Füge zusammen:

\frac{1}{( x + 2 ) ^{2}} + 1 : \frac{x ^{2} + 4 x + 5}{( x + 2 ) ^{2}}

= \frac{x ^{2} + 4 x + 5}{( x + 2 ) ^{2}} (x + 1)

Wende Bruchregel an:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{( x ^{2} + 4 x + 5 ) ( x + 1 )}{( x + 2 ) ^{2}}

e x p an d \frac{d}{d x} (\frac{x ^{2}}{2}) + 5 x + (6 - 5 x) ln (x) + 5

e x p an d 7 (11 + 10)

e x p an d (2 \cdot a - a \cdot b)^{4}

e x p an d 8 (ln (1 + 2) + 2)

e x p an d 6 x (x + 1 = 21 - x)