vereinfachen (sqrt(r)+sqrt(s))^2

Lösung

vereinfachen

(r + s)^{2}

r + 2 r s + s

Schritte zur Lösung

(r + s)^{2}

Wende Formel für perfekte quadratische Gleichungen an:

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

(r + s)^{2} = (r)^{2} + 2 r s + (s)^{2}

= (r)^{2} + 2 r s + (s)^{2}

(r)^{2} = r

(s)^{2} = s

= r + 2 r s + s

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

e x p an d (3 x + 2 y + 4) d x + (3 x + 2 y - 3) d y

e x p an d e^{α \cdot t} ((a cosh (β \cdot t)) + (b + c \cdot t) sinh (β \cdot t))

e x p an d e^{12 x} [12 (2 x + 12 x^{2}) + 2 + \frac{24}{x}]

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