erweitern (12x+36)/(x^2(x+6)^2)

Lösung

erweitern

\frac{12 x + 36}{x ^{2} ( x + 6 ) ^{2}}

\frac{12 x + 36}{x ^{4} + 12 x ^{3} + 36 x ^{2}}

Schritte zur Lösung

\frac{12 x + 36}{x ^{2} ( x + 6 ) ^{2}}

(x + 6)^{2} = x^{2} + 12 x + 36

= \frac{12 x + 36}{x ^{2} ( x ^{2} + 12 x + 36 )}

Multipliziere aus

x^{2} (x^{2} + 12 x + 36) : x^{4} + 12 x^{3} + 36 x^{2}

= \frac{12 x + 36}{x ^{4} + 12 x ^{3} + 36 x ^{2}}

e x p an d (6 x^{2} - 5 x) e^{x}

e x p an d (sin^{2} (x) - y) d x - tan (x)

e x p an d 2 (sin (ln (x)) + cos (ln (x)))

e x p an d 5 (2 x e^{3 x} + e^{3 x} \cdot 3 x^{2})

e x p an d (- 3 - - i)^{12}