erweitern (a^2-x^2)/((x^2+a^2)^2)

Lösung

erweitern

\frac{a ^{2} - x ^{2}}{( x ^{2} + a ^{2} ) ^{2}}

\frac{a ^{2} - x ^{2}}{x ^{4} + 2 a ^{2} x ^{2} + a ^{4}}

Schritte zur Lösung

\frac{a ^{2} - x ^{2}}{( x ^{2} + a ^{2} ) ^{2}}

(x^{2} + a^{2})^{2} = x^{4} + 2 a^{2} x^{2} + a^{4}

= \frac{a ^{2} - x ^{2}}{x ^{4} + 2 a ^{2} x ^{2} + a ^{4}}

e x p an d tan (x) + sin (x) (csc (x) - sec (x) = 1)

e x p an d (2 x^{3} + 4 x y^{2} + y^{2}) d x + (2 x y + 4 x^{2} y) d y

s im pl i f y (\frac{1}{3} + \frac{x}{2}) (\frac{1}{9} - \frac{x ^{2}}{4}) (\frac{1}{3} - \frac{x}{2})

s im pl i f y x (\frac{3 x}{4} + \frac{10 - 3 x}{2})

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