erweitern-(2-3/m)^2

Lösung

erweitern

- (2 - \frac{3}{m})^{2}

- \frac{4 m ^{2} - 12 m + 9}{m ^{2}}

Schritte zur Lösung

- (2 - \frac{3}{m})^{2}

Wende Formel für perfekte quadratische Gleichungen an:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

(2 - \frac{3}{m})^{2} = 2^{2} - 2 \cdot 2 \cdot \frac{3}{m} + (\frac{3}{m})^{2}

= - (2^{2} - 2 \cdot 2 \cdot \frac{3}{m} + (\frac{3}{m})^{2})

Vereinfache

2^{2} - 2 \cdot 2 \cdot \frac{3}{m} + (\frac{3}{m})^{2} : \frac{4 m ^{2} - 12 m + 9}{m ^{2}}

= - \frac{4 m ^{2} - 12 m + 9}{m ^{2}}

e x p an d (x - 0.1) (x - 0.3) (x - 0.5) (x - 0, 8)

e x p an d (e^{x} - x - 1)^{2}

e x p an d U ((1 + a^{2}) (y^{2} - x^{2}))

e x p an d e^{\frac{x ^{2}}{2}} (x^{2} - 9)

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