vereinfachen (3x^2)^{2x}(x^2+2x)^2

Lösung

vereinfachen

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

9^{x} x^{4 x} (x^{2} + 2 x)^{2}

Schritte zur Lösung

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

Wende Exponentenregel an:

(a \cdot b)^{n} = a^{n} b^{n}

(3 x^{2})^{2 x} = 3^{2 x} (x^{2})^{2 x}

= 3^{2 x} (x^{2})^{2 x} (x^{2} + 2 x)^{2}

Vereinfache

(x^{2})^{2 x} : x^{4 x}

= 3^{2 x} x^{4 x} (x^{2} + 2 x)^{2}

3^{2 x} = 9^{x}

= 9^{x} x^{4 x} (x^{2} + 2 x)^{2}

\frac{\partial}{\partial x} (\frac{( 3 x - y )}{3 x + y})

\int_{0}^{\frac{3 π}{2}} cos^{3} (5 x) d x

\int_{0}^{3} x^{2} + 9 d x

t an g e n t y = 2 x^{3} + 3 x^{2} - 12 x + 2

\int x^{2} - x - 6 d x