erweitern-(36(12x^2-1))/((12x^3-3x+16)^2)

Lösung

erweitern

- \frac{36 ( 12 x ^{2} - 1 )}{( 12 x ^{3} - 3 x + 16 ) ^{2}}

- \frac{432 x ^{2} - 36}{144 x ^{6} - 72 x ^{4} + 384 x ^{3} + 9 x ^{2} - 96 x + 256}

Schritte zur Lösung

- \frac{36 ( 12 x ^{2} - 1 )}{( 12 x ^{3} - 3 x + 16 ) ^{2}}

(12 x^{3} - 3 x + 16)^{2} = 144 x^{6} - 72 x^{4} + 384 x^{3} + 9 x^{2} - 96 x + 256

= - \frac{36 ( 12 x ^{2} - 1 )}{144 x ^{6} - 72 x ^{4} + 384 x ^{3} + 9 x ^{2} - 96 x + 256}

Multipliziere aus

36 (12 x^{2} - 1) : 432 x^{2} - 36

= - \frac{432 x ^{2} - 36}{144 x ^{6} - 72 x ^{4} + 384 x ^{3} + 9 x ^{2} - 96 x + 256}

e x p an d - \frac{2 ( 45 + 555 )}{49}

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

e x p an d (\frac{a ^{2} \cdot a ^{9}}{a ^{5}})^{7}

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

s im pl i f y (1 - x 3)^{2}