erweitern (x^5+2x)*(x^3+x^2+x+7)

Lösung

erweitern

(x^{5} + 2 x) \cdot (x^{3} + x^{2} + x + 7)

x^{8} + x^{7} + x^{6} + 7 x^{5} + 2 x^{4} + 2 x^{3} + 2 x^{2} + 14 x

Schritte zur Lösung

(x^{5} + 2 x) (x^{3} + x^{2} + x + 7)

Setze Klammern

= x^{5} x^{3} + x^{5} x^{2} + x^{5} x + x^{5} \cdot 7 + 2 x x^{3} + 2 x x^{2} + 2 xx + 2 x \cdot 7

Vereinfache

x^{5} x^{3} + x^{5} x^{2} + x^{5} x + x^{5} \cdot 7 + 2 x x^{3} + 2 x x^{2} + 2 xx + 2 x \cdot 7 : x^{8} + x^{7} + x^{6} + 7 x^{5} + 2 x^{4} + 2 x^{3} + 2 x^{2} + 14 x

= x^{8} + x^{7} + x^{6} + 7 x^{5} + 2 x^{4} + 2 x^{3} + 2 x^{2} + 14 x

\int e^{- x} \cdot cos (w x) d x

y^{^{''}} + y^{^{'}} + y = 0, y (0) = 1, y^{^{'}} (0) = - 1

\frac{\partial}{\partial x} (ln (x^{4} + y^{3}))

\frac{d}{d x} (- \frac{2 x}{( 2 + x ^{2} ) ^{2}})

x \to 1 lim (2 x - x^{2} - x^{3})