erweitern ((12+y^2)^2)/(16)

Lösung

erweitern

\frac{( 12 + y ^{2} ) ^{2}}{16}

\frac{y ^{4}}{16} + \frac{3 y ^{2}}{2} + 9

Schritte zur Lösung

\frac{( 12 + y ^{2} ) ^{2}}{16}

(12 + y^{2})^{2} = 144 + 24 y^{2} + y^{4}

= \frac{144 + 24 y ^{2} + y ^{4}}{16}

Wende Bruchregel an:

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

\frac{144 + 24 y ^{2} + y ^{4}}{16} = \frac{144}{16} + \frac{24 y ^{2}}{16} + \frac{y ^{4}}{16}

= \frac{144}{16} + \frac{24 y ^{2}}{16} + \frac{y ^{4}}{16}

Teile die Zahlen:

\frac{144}{16} = 9

= 9 + \frac{24 y ^{2}}{16} + \frac{y ^{4}}{16}

Streiche

\frac{24 y ^{2}}{16} : \frac{3 y ^{2}}{2}

= 9 + \frac{3 y ^{2}}{2} + \frac{y ^{4}}{16}

Rewrite in standard form

= \frac{y ^{4}}{16} + \frac{3 y ^{2}}{2} + 9

e x p an d \frac{2}{5} \cdot \frac{1}{2}

e x p an d \frac{3 s - 6}{130 ( s ^{2} + 9 )}

e x p an d \frac{{ ( x - 2 ) ( x + 2 ) ( x - 3 ) ^{6} }}{( x + 3 ) ^{7}}

e x p an d A (- 3, 1, - 2, 7) B (- 1, - 4)

e x p an d \frac{20 e ^{- 4 s} - 20 e ^{- 6 s}}{s ( s ^{2} + 4 s + 20 )}