erweitern (sqrt(6-x)-3)(sqrt(1-x)+2)

Lösung

erweitern

(6 - x - 3) (1 - x + 2)

6 - 7 x + x^{2} + 2 6 - x - 3 1 - x - 6

Schritte zur Lösung

(6 - x - 3) (1 - x + 2)

Wende Ausklammerungsregel an (VANI):

(a + b) (c + d) = a c + a d + b c + b d

a = 6 - x, b = - 3, c = 1 - x, d = 2

= 6 - x 1 - x + 6 - x \cdot 2 + (- 3) 1 - x + (- 3) \cdot 2

Wende Minus-Plus Regeln an

+ (- a) = - a

= 6 - x 1 - x + 2 6 - x - 3 1 - x - 3 \cdot 2

Vereinfache

6 - x 1 - x + 2 6 - x - 3 1 - x - 3 \cdot 2 : 6 - 7 x + x^{2} + 2 6 - x - 3 1 - x - 6

= 6 - 7 x + x^{2} + 2 6 - x - 3 1 - x - 6

e x p an d sin (x) cos (x) (csc (x) + tan (x))

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

e x p an d (x + i y)^{3} - 2 (x + i y) + 6

e x p an d (x - 1 + i) (x - 1 - i)

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