erweitern 2(x+h)^2+3(x+h)-5sqrt((x+h))

Lösung

erweitern

2 (x + h)^{2} + 3 (x + h) - 5 (x + h)

2 x^{2} + 4 x h + 2 h^{2} + 3 x + 3 h - 5 x + h

Schritte zur Lösung

2 (x + h)^{2} + 3 (x + h) - 5 x + h

Vereinfache

(x + h) : x + h

= 2 (x + h)^{2} + 3 (x + h) - 5 x + h

Schreibe

2 (x + h)^{2}

um:

2 x^{2} + 4 x h + 2 h^{2}

= 2 x^{2} + 4 x h + 2 h^{2} + 3 (x + h) - 5 x + h

Schreibe

3 (x + h)

um:

3 x + 3 h

= 2 x^{2} + 4 x h + 2 h^{2} + 3 x + 3 h - 5 x + h

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

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

e x p an d \frac{3 \frac{2 ^{2}}{4}}{\frac{1}{4}} - 1^{2} - 1

s im pl i f y (2 + \frac{2}{x + 1}) (3 - \frac{6}{x + 2})

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