erweitern (2x-1)sqrt(-x^2+x+2)

Lösung

erweitern

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

2 x - x^{2} + x + 2 - - x^{2} + x + 2

Schritte zur Lösung

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

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

Wende das Distributivgesetz an:

a (b - c) = ab - a c

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

= - x^{2} + x + 2 \cdot 2 x - - x^{2} + x + 2 \cdot 1

Vereinfache

- x^{2} + x + 2 \cdot 2 x - - x^{2} + x + 2 \cdot 1 : 2 x - x^{2} + x + 2 - - x^{2} + x + 2

= 2 x - x^{2} + x + 2 - - x^{2} + x + 2

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

e x p an d 9 - x^{2} \cdot x^{2} - 4

e x p an d \frac{5}{x} - \frac{3}{( x ^{2} + 2 x + 8 )}

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

e x p an d \frac{( y ^{3} ( 250 x y - 75 ) )}{( 5 x y - 1 ) ^{3}}