erweitern ((-20-2y)/7)^2

Lösung

erweitern

(\frac{- 20 - 2 y}{7})^{2}

\frac{4 y ^{2}}{49} + \frac{80 y}{49} + \frac{400}{49}

Schritte zur Lösung

(\frac{- 20 - 2 y}{7})^{2}

Wende Exponentenregel an:

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

= \frac{( - 20 - 2 y ) ^{2}}{7 ^{2}}

(- 20 - 2 y)^{2} = 400 + 80 y + 4 y^{2}

= \frac{400 + 80 y + 4 y ^{2}}{7 ^{2}}

7^{2} = 49

= \frac{400 + 80 y + 4 y ^{2}}{49}

Wende Bruchregel an:

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

\frac{400 + 80 y + 4 y ^{2}}{49} = \frac{400}{49} + \frac{80 y}{49} + \frac{4 y ^{2}}{49}

= \frac{400}{49} + \frac{80 y}{49} + \frac{4 y ^{2}}{49}

Rewrite in standard form

= \frac{4 y ^{2}}{49} + \frac{80 y}{49} + \frac{400}{49}

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