erweitern (192x^2-48x+5)/((8x-5)^6)

Lösung

erweitern

\frac{192 x ^{2} - 48 x + 5}{( 8 x - 5 ) ^{6}}

\frac{192 x ^{2} - 48 x + 5}{262144 x ^{6} - 983040 x ^{5} + 1536000 x ^{4} - 1280000 x ^{3} + 600000 x ^{2} - 150000 x + 15625}

Schritte zur Lösung

\frac{192 x ^{2} - 48 x + 5}{( 8 x - 5 ) ^{6}}

(8 x - 5)^{6} = 262144 x^{6} - 983040 x^{5} + 1536000 x^{4} - 1280000 x^{3} + 600000 x^{2} - 150000 x + 15625

= \frac{192 x ^{2} - 48 x + 5}{262144 x ^{6} - 983040 x ^{5} + 1536000 x ^{4} - 1280000 x ^{3} + 600000 x ^{2} - 150000 x + 15625}

e x p an d \frac{- 3 s - 5 - 9 e ^{- 6 s}}{( 2 s + 8 ) ( s + 10 )}

\frac{d}{d y} ((z) (z^{2} - 2 z y + 3 y^{2}))

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

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

s im pl i f y (x - i y + 1)^{2}