erweitern 5(x^2+y^2)e^{y^2-x^2}

Lösung

erweitern

5 (x^{2} + y^{2}) e^{y^{2} - x^{2}}

5 e^{y^{2} - x^{2}} x^{2} + 5 e^{y^{2} - x^{2}} y^{2}

Schritte zur Lösung

5 (x^{2} + y^{2}) e^{y^{2} - x^{2}}

= 5 e^{y^{2} - x^{2}} (x^{2} + y^{2})

Wende das Distributivgesetz an:

a (b + c) = ab + a c

a = 5 e^{y^{2} - x^{2}}, b = x^{2}, c = y^{2}

= 5 e^{y^{2} - x^{2}} x^{2} + 5 e^{y^{2} - x^{2}} y^{2}

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

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

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

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

e x p an d \frac{3}{( x - 3 ) ( x + 3 )}