vereinfachen 3(sqrt(1-x^2)-(x^2)/((1-x^2)^{1/2)})

Lösung

vereinfachen

3 (1 - x^{2} - \frac{x ^{2}}{( 1 - x ^{2} ) ^{\frac{1}{2}}})

\frac{3 ( 1 - 2 x ^{2} )}{( 1 - x ^{2} ) ^{\frac{1}{2}}}

Schritte zur Lösung

3 (1 - x^{2} - \frac{x ^{2}}{( 1 - x ^{2} ) ^{\frac{1}{2}}})

Füge zusammen:

1 - x^{2} - \frac{x ^{2}}{( 1 - x ^{2} ) ^{\frac{1}{2}}} : \frac{1 - 2 x ^{2}}{( 1 - x ^{2} ) ^{\frac{1}{2}}}

= 3 \cdot \frac{1 - 2 x ^{2}}{( 1 - x ^{2} ) ^{\frac{1}{2}}}

Wende Bruchregel an:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{3 ( 1 - 2 x ^{2} )}{( 1 - x ^{2} ) ^{\frac{1}{2}}}

s im pl i f y \frac{1}{2} (lo g_{10} (x) y - lo g_{10} (7))

e x p an d (sin (m) - tan (m)) (cos (m) - cot (m))

e x p an d \frac{x ^{2} + x + 4}{( x + 2 ) ( x ^{2} - 9 x + 2 )}

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

e x p an d \frac{( x - 2 ) ( x + 2 )}{x - 4}