erweitern ((7-3x)/4)^2

Lösung

erweitern

(\frac{7 - 3 x}{4})^{2}

\frac{9 x ^{2}}{16} - \frac{21 x}{8} + \frac{49}{16}

Schritte zur Lösung

(\frac{7 - 3 x}{4})^{2}

Wende Exponentenregel an:

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

= \frac{( 7 - 3 x ) ^{2}}{4 ^{2}}

(7 - 3 x)^{2} = 49 - 42 x + 9 x^{2}

= \frac{49 - 42 x + 9 x ^{2}}{4 ^{2}}

4^{2} = 16

= \frac{49 - 42 x + 9 x ^{2}}{16}

Wende Bruchregel an:

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

\frac{49 - 42 x + 9 x ^{2}}{16} = \frac{49}{16} - \frac{42 x}{16} + \frac{9 x ^{2}}{16}

= \frac{49}{16} - \frac{42 x}{16} + \frac{9 x ^{2}}{16}

Streiche

\frac{42 x}{16} : \frac{21 x}{8}

= \frac{49}{16} - \frac{21 x}{8} + \frac{9 x ^{2}}{16}

Rewrite in standard form

= \frac{9 x ^{2}}{16} - \frac{21 x}{8} + \frac{49}{16}

e x p an d x 3 (2 x + 45)

e x p an d (4 x + 7)^{4} d x

e x p an d \frac{1}{( s + 2 ) ^{3}}

e x p an d \frac{( s e ^{- 3 s} + 4 )}{s ( s + 1 )}

s im pl i f y 3 (5 - 1)