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

Lösung

vereinfachen

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

2 x^{2} + 2 x 1 + x^{2} + 1

Schritte zur Lösung

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

Wende Formel für perfekte quadratische Gleichungen an:

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

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

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

Vereinfache

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

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

e x p an d \frac{x ^{2} + 5}{x ^{3} ( x ^{2} + 4 )}

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

s im pl i f y (\frac{3 i}{n} - 2)^{2}

s im pl i f y (a + bi)^{5}

e x p an d cos (7 t) (5 + sinh (3 t) + e^{2 t})