erweitern (4q^2-4qr+br-q)/(4(br-q)(q-1)^2)

Lösung

erweitern

\frac{4 q ^{2} - 4 q r + b r - q}{4 ( b r - q ) ( q - 1 ) ^{2}}

\frac{4 q ^{2} - 4 q r + b r - q}{4 b q ^{2} r - 8 b q r + 4 b r - 4 q ^{3} + 8 q ^{2} - 4 q}

Schritte zur Lösung

\frac{4 q ^{2} - 4 q r + b r - q}{4 ( b r - q ) ( q - 1 ) ^{2}}

(q - 1)^{2} = q^{2} - 2 q + 1

= \frac{4 q ^{2} - 4 q r + b r - q}{4 ( b r - q ) ( q ^{2} - 2 q + 1 )}

Multipliziere aus

4 (b r - q) (q^{2} - 2 q + 1) : 4 b q^{2} r - 8 b q r + 4 b r - 4 q^{3} + 8 q^{2} - 4 q

= \frac{4 q ^{2} - 4 q r + b r - q}{4 b q ^{2} r - 8 b q r + 4 b r - 4 q ^{3} + 8 q ^{2} - 4 q}

e x p an d x^{\frac{1}{2}} (x^{\frac{4}{5}} - x^{\frac{7}{5}})

e x p an d lo g_{10} (3 x^{2})

s im pl i f y (1 + \frac{x - 1}{x}) (1 - \frac{1}{x + 1})

s im pl i f y (x + 5) (x - 3)

e x p an d sec (b) (csc (b) + 1)