erweitern (A+B^')(A+C)

Lösung

erweitern

(A + B^{^{'}}) (A + C)

A^{2} + A C + A B^{'} + C B^{'}

Schritte zur Lösung

(A + B^{^{'}}) (A + C)

Wende Ausklammerungsregel an (VANI):

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

a = A, b = B^{^{'}}, c = A, d = C

= AA + A C + B^{^{^{'}}} A + B^{^{^{'}}} C

= AA + A C + A B^{^{^{'}}} + C B^{^{^{'}}}

AA = A^{2}

= A^{2} + A C + A B^{^{^{'}}} + C B^{^{^{'}}}

e x p an d 3 (2 + 10)

e x p an d (10 + 27) (7 + 10)

e x p an d \frac{z + 19}{z ^{2} ( z - 1 )}

e x p an d 8 \times 15

e x p an d (4, 55 + 6.79 i) (\frac{10}{10 + 5 i})