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

Lösung

erweitern

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

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

Schritte zur Lösung

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

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

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

e x p an d \frac{( x - 1 ) \cdot ( x - 2 ) \cdot ( x - 5 ) \cdot ( x - 6 )}{60}

s im pl i f y (2 - x - 3) (2 + x - 3)

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

e x p an d (ln (x)) (5 x^{2} - 3)

e x p an d \frac{x ^{5} - 3 x ^{2} + 12 x - 1}{x ^{3} ( x ^{2} + x + 1 ) ( x + 2 ) ^{3}}