vereinfachen x(x+3)(x-sqrt(2))(x+sqrt(2))

Lösung

vereinfachen

x (x + 3) (x - 2) (x + 2)

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

Schritte zur Lösung

x (x + 3) (x - 2) (x + 2)

Wende Formel zur Differenz von zwei Quadraten an:

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

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

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

Vereinfache

x^{2} - (2)^{2} : x^{2} - 2

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

e x p an d 7.03 \times 10 - 4

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

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

e x p an d (5 cos (x) - cos (5 x)) (5 cos (x) - 5 cos (5 x))

e x p an d (- \frac{5}{6}, - \frac{3}{2}) y (\frac{11}{2}, \frac{1}{3})