expand xye^2(1+z)^2-xe^x

פתרון

expand

x y e^{2} (1 + z)^{2} - x e^{x}

e^{2} x y + 2 e^{2} x yz + e^{2} x y z^{2} - e^{x} x

צעדי פתרון

x y e^{2} (1 + z)^{2} - x e^{x}

(1 + z)^{2} = 1 + 2 z + z^{2}

= e^{2} x y (z^{2} + 2 z + 1) - e^{x} x

= e^{2} x y (1 + 2 z + z^{2}) - e^{x} x

x y e^{2} (1 + 2 z + z^{2})

הרחב את:

e^{2} x y + 2 e^{2} x yz + e^{2} x y z^{2}

= e^{2} x y + 2 e^{2} x yz + e^{2} x y z^{2} - x e^{x}

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

e x p an d (1 + sin (t)) d t

e x p an d 3 x + 4 (2 - x = 4 x + 5)

e x p an d (\frac{3 !}{2 ! 1 !}) (\frac{3}{16})^{1} (\frac{4}{16})^{2}

e x p an d 2 π x - \frac{π}{2} (10 - π x)