erweitern (ax+b)(2-ay'(x))

Lösung

erweitern

(a x + b) (2 - a y^{'} (x))

2 a x - a^{2} x y' (x) + 2 b - ab y' (x)

Schritte zur Lösung

(a x + b) (2 - a y^{'} (x))

Wende Ausklammerungsregel an (VANI):

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

a = a x, b = b, c = 2, d = - a y^{'} (x)

= a x \cdot 2 + a x (- a y^{^{'}} (x)) + b \cdot 2 + b (- a y^{^{'}} (x))

Wende Minus-Plus Regeln an

+ (- a) = - a

= 2 a x - aa x y^{^{'}} (x) + 2 b - ab y^{^{'}} (x)

aa x y^{'} (x) = a^{2} x y^{'} (x)

= 2 a x - a^{2} x y^{^{'}} (x) + 2 b - ab y^{^{'}} (x)

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

e x p an d (3 e^{- 2 t} - 4 e^{- 4 t})^{2}

e x p an d \frac{x - 6}{( - 2 x + 4 ) ( 5 x + 9 )}

e x p an d \frac{x ^{2} - 4}{7 ( x ^{2} - 9 )}

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