erweitern-(2(x^2-5x+3))/(ln(5)(2x-1)(x+1)(x-1))

Lösung

erweitern

- \frac{2 ( x ^{2} - 5 x + 3 )}{ln ( 5 ) ( 2 x - 1 ) ( x + 1 ) ( x - 1 )}

- \frac{2 x ^{2} - 10 x + 6}{2 ln ( 5 ) x ^{3} - 2 ln ( 5 ) x - ln ( 5 ) x ^{2} + ln ( 5 )}

Schritte zur Lösung

- \frac{2 ( x ^{2} - 5 x + 3 )}{ln ( 5 ) ( 2 x - 1 ) ( x + 1 ) ( x - 1 )}

Multipliziere aus

ln (5) (2 x - 1) (x + 1) (x - 1) : 2 ln (5) x^{3} - 2 ln (5) x - ln (5) x^{2} + ln (5)

= - \frac{2 ( x ^{2} - 5 x + 3 )}{2 ln ( 5 ) x ^{3} - ln ( 5 ) x ^{2} - 2 ln ( 5 ) x + ln ( 5 )}

Multipliziere aus

2 (x^{2} - 5 x + 3) : 2 x^{2} - 10 x + 6

= - \frac{2 x ^{2} - 10 x + 6}{2 ln ( 5 ) x ^{3} - ln ( 5 ) x ^{2} - 2 ln ( 5 ) x + ln ( 5 )}

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

e x p an d - sin (x) (1 + tan (x))

s im pl i f y - 1.5 (cos (0.25 t^{2}) - 0.5 t^{2} sin (0.25 t^{2}))

e x p an d \frac{( a + bi ) ^{6}}{( a - bi ) ^{2}}

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