vereinfachen (r-sqrt(5))^2

Lösung

vereinfachen

(r - 5)^{2}

r^{2} - 25 r + 5

Schritte zur Lösung

(r - 5)^{2}

Wende Formel für perfekte quadratische Gleichungen an:

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

(r - 5)^{2} = r^{2} - 2 r 5 + (5)^{2}

= r^{2} - 2 r 5 + (5)^{2}

- 2 r 5 = - 25 r

(5)^{2} = 5

= r^{2} - 25 r + 5

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

e x p an d \frac{d ^{2} y}{d ^{2} x} (3 x^{2} + 4 y^{2} = 9)

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

e x p an d (x + 15 - 67) (x + 15 + 67)

e x p an d \frac{128 ( - 3 x ^{2} + 16 )}{( x ^{2} + 16 ) ^{3}}