erweitern x^3(4e^{(y^3)/3}y^3+e^{(y^3)/3}y^6)

Lösung

erweitern

x^{3} (4 e^{\frac{y ^{3}}{3}} y^{3} + e^{\frac{y ^{3}}{3}} y^{6})

4 e^{\frac{y ^{3}}{3}} x^{3} y^{3} + e^{\frac{y ^{3}}{3}} x^{3} y^{6}

Schritte zur Lösung

x^{3} (4 e^{\frac{y ^{3}}{3}} y^{3} + e^{\frac{y ^{3}}{3}} y^{6})

Wende das Distributivgesetz an:

a (b + c) = ab + a c

a = x^{3}, b = 4 e^{\frac{y ^{3}}{3}} y^{3}, c = e^{\frac{y ^{3}}{3}} y^{6}

= x^{3} \cdot 4 e^{\frac{y ^{3}}{3}} y^{3} + x^{3} e^{\frac{y ^{3}}{3}} y^{6}

= 4 e^{\frac{y ^{3}}{3}} x^{3} y^{3} + e^{\frac{y ^{3}}{3}} x^{3} y^{6}

e x p an d \frac{x ^{\frac{3}{4}} x ^{2} + 1}{( 3 x + 2 ) ^{5}}

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

e x p an d (cos (t) - sin^{2} (t))^{2}

e x p an d (1 + t)^{2} - 2 cos (2 t) + 2 sin (3 t) - 4 e^{- 3 t}

e x p an d (e^{3 x} - e^{- 3 x})^{2}