erweitern (4/5 x+3/5 y)^2

Lösung

erweitern

(\frac{4}{5} x + \frac{3}{5} y)^{2}

\frac{16 x ^{2} + 24 x y + 9 y ^{2}}{25}

Schritte zur Lösung

(\frac{4}{5} x + \frac{3}{5} y)^{2}

Wende Formel für perfekte quadratische Gleichungen an:

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

(\frac{4}{5} x + \frac{3}{5} y)^{2} = (\frac{4}{5} x)^{2} + 2 \cdot \frac{4}{5} x \frac{3}{5} y + (\frac{3}{5} y)^{2}

= (\frac{4}{5} x)^{2} + 2 \cdot \frac{4}{5} x \frac{3}{5} y + (\frac{3}{5} y)^{2}

Vereinfache

(\frac{4}{5} x)^{2} + 2 \cdot \frac{4}{5} x \frac{3}{5} y + (\frac{3}{5} y)^{2} : \frac{16 x ^{2} + 24 x y + 9 y ^{2}}{25}

= \frac{16 x ^{2} + 24 x y + 9 y ^{2}}{25}

e x p an d (3 + \frac{x}{2})^{5}

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

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

\frac{d ^{2}}{d x ^{2}} ((y^{2}) (- 3 x^{3} y^{2} - x^{2} y - 3 x - 2 y^{2}))

e x p an d cos (t - 1) U (t - 1)