erweitern (x^2)/((x^2+1)(1+y^2))

Lösung

erweitern

\frac{x ^{2}}{( x ^{2} + 1 ) ( 1 + y ^{2} )}

\frac{x ^{2}}{x ^{2} + x ^{2} y ^{2} + 1 + y ^{2}}

Schritte zur Lösung

\frac{x ^{2}}{( x ^{2} + 1 ) ( 1 + y ^{2} )}

Multipliziere aus

(x^{2} + 1) (1 + y^{2}) : x^{2} + x^{2} y^{2} + 1 + y^{2}

= \frac{x ^{2}}{x ^{2} + x ^{2} y ^{2} + 1 + y ^{2}}

e x p an d \frac{1}{3} ((3 + \frac{y}{6})^{2} - 3^{2}) y

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

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

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

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