erweitern (ln(2x+6)+x/(x+3))(2x+6)^x

Lösung

erweitern

(ln (2 x + 6) + \frac{x}{x + 3}) (2 x + 6)^{x}

ln (2 x + 6) (2 x + 6)^{x} + \frac{x ( 2 x + 6 ) ^{x}}{x + 3}

Schritte zur Lösung

(ln (2 x + 6) + \frac{x}{x + 3}) (2 x + 6)^{x}

Wende das Distributivgesetz an:

a (b + c) = ab + a c

a = (2 x + 6)^{x}, b = ln (2 x + 6), c = \frac{x}{x + 3}

= (2 x + 6)^{x} ln (2 x + 6) + (2 x + 6)^{x} \frac{x}{x + 3}

= ln (2 x + 6) (2 x + 6)^{x} + \frac{x}{x + 3} (2 x + 6)^{x}

Multipliziere

\frac{x}{x + 3} (2 x + 6)^{x} : \frac{x ( 2 x + 6 ) ^{x}}{x + 3}

= ln (2 x + 6) (2 x + 6)^{x} + \frac{x ( 2 x + 6 ) ^{x}}{x + 3}

e x p an d \frac{3}{( n ( n + 3 ) )}

e x p an d 2 (y (z - 2))

e x p an d \frac{( y - x ) ^{2}}{14}

e x p an d (cos (x^{2} + y^{2}) - 1)^{2}

e x p an d 3 x + 3 + 7 x