erweitern ((((5y-3)/2))/(2))^2

Lösung

erweitern

(\frac{( \frac{5 y - 3}{2} )}{2})^{2}

\frac{25 y ^{2}}{16} - \frac{15 y}{8} + \frac{9}{16}

Schritte zur Lösung

(\frac{\frac{5 y - 3}{2}}{2})^{2}

\frac{\frac{5 y - 3}{2}}{2} = \frac{5 y - 3}{4}

= (\frac{5 y - 3}{4})^{2}

Wende Exponentenregel an:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( 5 y - 3 ) ^{2}}{4 ^{2}}

(5 y - 3)^{2} = 25 y^{2} - 30 y + 9

= \frac{25 y ^{2} - 30 y + 9}{4 ^{2}}

4^{2} = 16

= \frac{25 y ^{2} - 30 y + 9}{16}

Wende Bruchregel an:

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

\frac{25 y ^{2} - 30 y + 9}{16} = \frac{25 y ^{2}}{16} - \frac{30 y}{16} + \frac{9}{16}

= \frac{25 y ^{2}}{16} - \frac{30 y}{16} + \frac{9}{16}

Streiche

\frac{30 y}{16} : \frac{15 y}{8}

= \frac{25 y ^{2}}{16} - \frac{15 y}{8} + \frac{9}{16}

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

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