faktorisieren (5x^2-10x+25)-25+1

Lösung

faktorisieren

(5 x^{2} - 10 x + 25) - 25 + 1

5 (x - \frac{5 + 2 5}{5}) (x - \frac{5 - 2 5}{5})

Schritte zur Lösung

(5 x^{2} - 10 x + 25) - 25 + 1

Entferne die Klammern:

(a) = a

= 5 x^{2} - 10 x + 25 - 25 + 1

Addiere/Subtrahiere die Zahlen:

25 - 25 + 1 = 1

= 5 x^{2} - 10 x + 1

Schreibe um

= 5 (x^{2} - 2 x + \frac{1}{5})

Faktorisiere

x^{2} - 2 x + \frac{1}{5} : (x - \frac{2 + 5}{5}) (x - \frac{5 - 2}{5})

5 (x - \frac{2 + 5}{5}) (x - \frac{5 - 2}{5})

\frac{5 + 2}{5} = \frac{5 + 2 5}{5}

= 5 (x - \frac{5 + 2 5}{5}) (x - \frac{5 - 2}{5})

\frac{5 - 2}{5} = \frac{5 - 2 5}{5}

= 5 (x - \frac{5 + 2 5}{5}) (x - \frac{5 - 2 5}{5})

f a c t or \frac{m ^{2} + 7 m - 18}{m + 2}

f a c t or 7^{- 2}

f a c t or ab + b x + a y + x y

\frac{d}{d t} ((x) (3 x t^{2}))

\frac{d}{d t} ((x) (1 7^{t}))