erweitern (16(16+2x-x^2))/((8x-x^2)^6)

Lösung

erweitern

\frac{16 ( 16 + 2 x - x ^{2} )}{( 8 x - x ^{2} ) ^{6}}

\frac{256 + 32 x - 16 x ^{2}}{262144 x ^{6} - 196608 x ^{7} + 61440 x ^{8} - 10240 x ^{9} + 960 x ^{10} - 48 x ^{11} + x ^{12}}

Schritte zur Lösung

\frac{16 ( 16 + 2 x - x ^{2} )}{( 8 x - x ^{2} ) ^{6}}

(8 x - x^{2})^{6} = 262144 x^{6} - 196608 x^{7} + 61440 x^{8} - 10240 x^{9} + 960 x^{10} - 48 x^{11} + x^{12}

= \frac{16 ( - x ^{2} + 2 x + 16 )}{262144 x ^{6} - 196608 x ^{7} + 61440 x ^{8} - 10240 x ^{9} + 960 x ^{10} - 48 x ^{11} + x ^{12}}

Multipliziere aus

16 (16 + 2 x - x^{2}) : 256 + 32 x - 16 x^{2}

= \frac{256 + 32 x - 16 x ^{2}}{262144 x ^{6} - 196608 x ^{7} + 61440 x ^{8} - 10240 x ^{9} + 960 x ^{10} - 48 x ^{11} + x ^{12}}

e x p an d - \frac{2 ( y - 3 )}{5}

e x p an d \frac{f ( b ^{2} - a ^{2} )}{2}

e x p an d cos (2 t) U (t - \frac{5 π}{2})

e x p an d cot (4 (8 x^{3} - 9)^{3}) - 3 sin (12 x - 1)

e x p an d Q (3, - 4)