vereinfachen 50x^2(x-y)^2-8y^2(x-y)^2

Lösung

vereinfachen

50 x^{2} (x - y)^{2} - 8 y^{2} (x - y)^{2}

50 x^{4} - 100 x^{3} y + 42 x^{2} y^{2} + 16 x y^{3} - 8 y^{4}

Schritte zur Lösung

50 x^{2} (x - y)^{2} - 8 y^{2} (x - y)^{2}

(x - y)^{2} : x^{2} - 2 x y + y^{2}

= 50 x^{2} (x^{2} - 2 x y + y^{2}) - 8 y^{2} (x - y)^{2}

(x - y)^{2} : x^{2} - 2 x y + y^{2}

= 50 x^{2} (x^{2} - 2 x y + y^{2}) - 8 y^{2} (x^{2} - 2 x y + y^{2})

Multipliziere aus

50 x^{2} (x^{2} - 2 x y + y^{2}) : 50 x^{4} - 100 x^{3} y + 50 x^{2} y^{2}

= 50 x^{4} - 100 x^{3} y + 50 x^{2} y^{2} - 8 y^{2} (x^{2} - 2 x y + y^{2})

Multipliziere aus

- 8 y^{2} (x^{2} - 2 x y + y^{2}) : - 8 x^{2} y^{2} + 16 x y^{3} - 8 y^{4}

= 50 x^{4} - 100 x^{3} y + 50 x^{2} y^{2} - 8 x^{2} y^{2} + 16 x y^{3} - 8 y^{4}

Addiere gleiche Elemente:

50 x^{2} y^{2} - 8 x^{2} y^{2} = 42 x^{2} y^{2}

= 50 x^{4} - 100 x^{3} y + 42 x^{2} y^{2} + 16 x y^{3} - 8 y^{4}

s im pl i f y \frac{2 x}{5 + 1 - 13}

s im pl i f y 7 \frac{m}{s ^{2}}

s im pl i f y l [2^{t}]

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

s im pl i f y n^{0.1} + (n - 1) \cdot 0.2 + (n - 2) \cdot 0.3 + (n - 3) \cdot 0.4