erweitern e^{x^2+1}(1+2x^2)

Lösung

erweitern

e^{x^{2} + 1} \cdot (1 + 2 \cdot x^{2})

e^{x^{2} + 1} + 2 e^{x^{2} + 1} x^{2}

Schritte zur Lösung

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

Wende das Distributivgesetz an:

a (b + c) = ab + a c

a = e^{x^{2} + 1}, b = 1, c = 2 x^{2}

= e^{x^{2} + 1} \cdot 1 + e^{x^{2} + 1} \cdot 2 x^{2}

= 1 \cdot e^{x^{2} + 1} + 2 e^{x^{2} + 1} x^{2}

Multipliziere:

1 \cdot e^{x^{2} + 1} = e^{x^{2} + 1}

= e^{x^{2} + 1} + 2 e^{x^{2} + 1} x^{2}

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

s im pl i f y (5 x + 32 y) 2

e x p an d 10 (\frac{1}{5} v - \frac{3}{2})

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

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