erweitern ((4h+3k-4)^2)/(25)

Lösung

erweitern

\frac{( 4 h + 3 k - 4 ) ^{2}}{25}

\frac{24 hk}{25} + \frac{16 h ^{2}}{25} - \frac{32 h}{25} + \frac{9 k ^{2}}{25} - \frac{24 k}{25} + \frac{16}{25}

Schritte zur Lösung

\frac{( 4 h + 3 k - 4 ) ^{2}}{25}

(4 h + 3 k - 4)^{2} = 24 hk + 16 h^{2} - 32 h + 9 k^{2} - 24 k + 16

= \frac{24 hk + 16 h ^{2} - 32 h + 9 k ^{2} - 24 k + 16}{25}

Wende Bruchregel an:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{24 hk + 16 h ^{2} - 32 h + 9 k ^{2} - 24 k + 16}{25} = \frac{24 hk}{25} + \frac{16 h ^{2}}{25} - \frac{32 h}{25} + \frac{9 k ^{2}}{25} - \frac{24 k}{25} + \frac{16}{25}

= \frac{24 hk}{25} + \frac{16 h ^{2}}{25} - \frac{32 h}{25} + \frac{9 k ^{2}}{25} - \frac{24 k}{25} + \frac{16}{25}

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

e x p an d - \frac{3 ( 3 x - 1 )}{8}

e x p an d \frac{6}{x ( x + 10 )}

e x p an d (x^{2} + x y + 3 y^{2}) d x

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