vereinfachen (x-sqrt(x+1)-5)(x+sqrt(x+1)+5)

Lösung

vereinfachen

(x - x + 1 - 5) (x + x + 1 + 5)

x^{2} - x - 10 x + 1 - 26

Schritte zur Lösung

(x - x + 1 - 5) (x + x + 1 + 5)

Setze Klammern

= xx + x x + 1 + x \cdot 5 - x + 1 x - x + 1 x + 1 - x + 1 \cdot 5 - 5 x - 5 x + 1 - 5 \cdot 5

Vereinfache

xx + x x + 1 + x \cdot 5 - x + 1 x - x + 1 x + 1 - x + 1 \cdot 5 - 5 x - 5 x + 1 - 5 \cdot 5 : x^{2} - x - 10 x + 1 - 26

= x^{2} - x - 10 x + 1 - 26

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

e x p an d tan (α) (1 - cot^{2} (α)) + cot (α) (1 - tan^{2} (α))

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

e x p an d (yo u a re) (g a y - 1)

e x p an d ln (P) (ln (Q) = 9.44 - 1.87 ln (P))