vereinfachen (sqrt(x+1)+2)(sqrt(x+1)-2)(x^2+7)

Lösung

vereinfachen

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

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

Schritte zur Lösung

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

Wende Formel zur Differenz von zwei Quadraten an:

(a + b) (a - b) = a^{2} - b^{2}

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

= ((x + 1)^{2} - 2^{2}) (x^{2} + 7)

Vereinfache

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

= (x - 3) (x^{2} + 7)

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

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

e x p an d (b cos (z) - a sin (z) y) \cdot 2 r sin (z)

e x p an d \frac{3 s - 14}{( s - 2 ) ( s - 5 )}

e x p an d (2 m + 4) - \frac{2 ( 5 m + 1 )}{5}