vereinfachen (xsqrt(x^2+36)*3-2(x^2+36))/(6(x^2+36))

Lösung

vereinfachen

\frac{x x ^{2} + 36 \cdot 3 - 2 ( x ^{2} + 36 )}{6 ( x ^{2} + 36 )}

\frac{3 x - 2 x ^{2} + 36}{6 x ^{2} + 36}

Schritte zur Lösung

\frac{x x ^{2} + 36 \cdot 3 - 2 ( x ^{2} + 36 )}{6 ( x ^{2} + 36 )}

Klammere gleiche Terme aus

x^{2} + 36 : x^{2} + 36 (x \cdot 3 - 2 x^{2} + 36)

= \frac{x ^{2} + 36 ( x \cdot 3 - 2 x ^{2} + 36 )}{6 ( x ^{2} + 36 )}

Wende Radikal Regel an:

a = a a

x^{2} + 36 = x^{2} + 36 x^{2} + 36

= \frac{x ^{2} + 36 ( x \cdot 3 - 2 x ^{2} + 36 )}{6 x ^{2} + 36 x ^{2} + 36}

Streiche die gemeinsamen Faktoren:

x^{2} + 36

= \frac{x \cdot 3 - 2 x ^{2} + 36}{6 x ^{2} + 36}

= \frac{3 x - 2 x ^{2} + 36}{6 x ^{2} + 36}

e x p an d ln (4) m^{3} n^{5}

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

e x p an d \frac{u ^{5} ( u ^{3} + 1 )}{u ^{2} + 1}

e x p an d - \frac{1 ( 3 + 6 - 8 + 3 )}{- 1 ( 3 + 6 - 8 + 3 )}

\frac{d}{d v} ((p) (p + \frac{1.9}{v ^{2}}) (v - 7, 2))