erweitern sqrt((x+h)^2-4)-sqrt(x^2-4)

Lösung

erweitern

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

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

Schritte zur Lösung

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

Multipliziere aus

(x + h)^{2} - 4 : x^{2} + 2 x h + h^{2} - 4

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

e x p an d \frac{40 ( x ^{2} + 10 x + 100 )}{x ( x + 1 ) ( x + 100 )}

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

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

e x p an d \frac{15 π ( - 17 + 5 )}{4}

\frac{\partial}{\partial x} ((z) (x^{3} z^{2} - 5 x y^{5} z - x^{2} - y^{3}))