erweitern ((-4+x)^2)/(16)

Lösung

erweitern

\frac{( - 4 + x ) ^{2}}{16}

\frac{x ^{2}}{16} - \frac{x}{2} + 1

Schritte zur Lösung

\frac{( - 4 + x ) ^{2}}{16}

(- 4 + x)^{2} = 16 - 8 x + x^{2}

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

Wende Bruchregel an:

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

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

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

Wende Regel an

\frac{a}{a} = 1

\frac{16}{16} = 1

= 1 - \frac{8 x}{16} + \frac{x ^{2}}{16}

Streiche

\frac{8 x}{16} : \frac{x}{2}

= 1 - \frac{x}{2} + \frac{x ^{2}}{16}

Rewrite in standard form

= \frac{x ^{2}}{16} - \frac{x}{2} + 1

e x p an d 6 (x - (2 x + 3) = 8 - 5 x)

e x p an d (x + 7) ((x + Δ x) + 7)

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