vereinfachen (x-1+sqrt(10))^2(x-1-sqrt(10))

Lösung

vereinfachen

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

x (x - 1 + 10)^{2} - x^{2} + 2 x (1 - 10) + 210 - 11 - 10 (x - 1 + 10)^{2}

Schritte zur Lösung

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

Wende das Distributivgesetz an:

m (a + b + c) = ma + mb + m c

(x - 1 + 10)^{2} (x - 1 - 10) = (x - 1 + 10)^{2} x + (x - 1 + 10)^{2} (- 1) + (x - 1 + 10)^{2} (- 10)

= (x - 1 + 10)^{2} x + (x - 1 + 10)^{2} (- 1) + (x - 1 + 10)^{2} (- 10)

Vereinfache

(x - 1 + 10)^{2} x + (x - 1 + 10)^{2} (- 1) + (x - 1 + 10)^{2} (- 10) : x (x - 1 + 10)^{2} + (x - 1 + 10)^{2} (- 1 - 10)

= x (x - 1 + 10)^{2} + (x - 1 + 10)^{2} (- 1 - 10)

Schreibe

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

um:

- x^{2} + 2 x - 210 x + 210 - 11 - 10 (x - 1 + 10)^{2}

= x (x - 1 + 10)^{2} - x^{2} + 2 x - 210 x + 210 - 11 - 10 (x - 1 + 10)^{2}

Klammere gleiche Terme aus

2 x : 2 x (1 - 10)

= x (x - 1 + 10)^{2} - x^{2} + 2 x (1 - 10) + 210 - 11 - 10 (x - 1 + 10)^{2}

e x p an d (x - 3) 4 - x

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

e x p an d \frac{10 s + 1}{10 s \times ( 1 + 5 s )}

e x p an d (3 X + 2 Y - 16 = 0,) Y (5 X + 2 Y - (- 18) = 0)

e x p an d \frac{d}{d ( 1 )} (x^{\frac{2}{3}} - y^{\frac{2}{3}} - y = 1)