vereinfachen (x+y)^6-x^6

Lösung

vereinfachen

(x + y)^{6} - x^{6}

6 x^{5} y + 15 x^{4} y^{2} + 20 x^{3} y^{3} + 15 x^{2} y^{4} + 6 x y^{5} + y^{6}

Schritte zur Lösung

(x + y)^{6} - x^{6}

(x + y)^{6} : x^{6} + 6 x^{5} y + 15 x^{4} y^{2} + 20 x^{3} y^{3} + 15 x^{2} y^{4} + 6 x y^{5} + y^{6}

= x^{6} + 6 x^{5} y + 15 x^{4} y^{2} + 20 x^{3} y^{3} + 15 x^{2} y^{4} + 6 x y^{5} + y^{6} - x^{6}

Vereinfache

x^{6} + 6 x^{5} y + 15 x^{4} y^{2} + 20 x^{3} y^{3} + 15 x^{2} y^{4} + 6 x y^{5} + y^{6} - x^{6} : 6 x^{5} y + 15 x^{4} y^{2} + 20 x^{3} y^{3} + 15 x^{2} y^{4} + 6 x y^{5} + y^{6}

= 6 x^{5} y + 15 x^{4} y^{2} + 20 x^{3} y^{3} + 15 x^{2} y^{4} + 6 x y^{5} + y^{6}

f a c t or 9 x^{2} - y^{2} + 6 x + 1

s im pl i f y \frac{( 30 z )}{( 9 z ^{2} - 1 )} + \frac{2}{( 3 z - 1 )} - \frac{5}{( 3 z + 1 )}

e x p an d (x + 2 x^{2})^{6}

s im pl i f y \frac{4}{a} - \frac{3}{b}

s im pl i f y 14 - 3 x^{2} - 5 7 x