erweitern (y=x^2+2x)(x+2)

Lösung

erweitern

(y = x^{2} + 2 x) (x + 2)

y = 4 x^{2} + 4 x

Schritte zur Lösung

(y = x^{2} + 2 x) (x + 2)

= (= x^{2} y + 2 x) (x + 2)

Wende Ausklammerungsregel an (VANI):

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

a = y = x^{2}, b = 2 x, c = x, d = 2

y = x^{2} x + y = x^{2} \cdot 2 + 2 xx + 2 x \cdot 2

y = x^{2} x + y = 2 x^{2} + 2 xx + 2 \cdot 2 x

Multipliziere aus

2 x^{2} + 2 xx + 2 \cdot 2 x : 4 x^{2} + 4 x

y = 4 x^{2} + 4 x

e x p an d \frac{x ^{2} + 5 x - 1}{( x ^{2} + 3 ) ^{2}}

e x p an d (x^{2} y^{2} + 1) d x + (2 x^{2}) d y

e x p an d \frac{( - 3 s ^{2} - 16 s + 12 )}{( s ^{2} + 4 ) ( s + 1 ) ( s - 4 )}

e x p an d P (s) a sc a l^{'} s

e x p an d \frac{( x + 3 ) ^{2}}{( x - 1 ) ^{2} + 4 a}