erweitern (x-pi)^2*(y-2)

Lösung

erweitern

(x - π)^{2} \cdot (y - 2)

x^{2} y - 2 π x y + π^{2} y - 2 x^{2} + 4 π x - 2 π^{2}

Schritte zur Lösung

(x - π)^{2} (y - 2)

Wende das Distributivgesetz an:

a (b - c) = ab - a c

a = (x - π)^{2}, b = y, c = 2

= (x - π)^{2} y - (x - π)^{2} \cdot 2

= y (x - π)^{2} - 2 (x - π)^{2}

Vereinfache

y (x - π)^{2} - 2 (x - π)^{2} : x^{2} y - 2 π x y + π^{2} y - 2 x^{2} + 4 π x - 2 π^{2}

= x^{2} y - 2 π x y + π^{2} y - 2 x^{2} + 4 π x - 2 π^{2}

e x p an d \frac{( 5 ( x + 5 ) )}{( x )}

e x p an d x^{a (b + 1)}

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

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

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