erweitern (a+e-b+i)x^2+(a+e+b+i)x+(c+o)

Lösung

erweitern

(a + e - b + i) x^{2} + (a + e + b + i) x + (c + o)

a x^{2} + e x^{2} - b x^{2} + i x^{2} + a x + e x + b x + i x + c + o

Schritte zur Lösung

(a + e - b + i) x^{2} + (a + e + b + i) x + (c + o)

= x^{2} (a + e - b + i) + x (a + e + b + i) + (c + o)

Multipliziere aus

x^{2} (a + e - b + i) : a x^{2} + e x^{2} - b x^{2} + i x^{2}

= a x^{2} + e x^{2} - b x^{2} + i x^{2} + (a + e + b + i) x + (c + o)

Multipliziere aus

x (a + e + b + i) : a x + e x + b x + i x

= a x^{2} + e x^{2} - b x^{2} + i x^{2} + a x + e x + b x + i x + (c + o)

Entferne die Klammern:

(a) = a

= a x^{2} + e x^{2} - b x^{2} + i x^{2} + a x + e x + b x + i x + c + o

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

e x p an d \frac{4 x - 5}{( x ^{2} - 2 x + 2 ) ^{\frac{3}{2}}}

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

s im pl i f y (1 + \frac{2}{x}) (3 - \frac{1}{x})

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