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

Lösung

erweitern

((3 x^{3} + 5 y)^{2})^{2}

81 x^{12} + 540 x^{9} y + 1350 x^{6} y^{2} + 1500 x^{3} y^{3} + 625 y^{4}

Schritte zur Lösung

((3 x^{3} + 5 y)^{2})^{2}

(3 x^{3} + 5 y)^{2} = 9 x^{6} + 30 x^{3} y + 25 y^{2}

= (9 x^{6} + 30 x^{3} y + 25 y^{2})^{2}

(9 x^{6} + 30 x^{3} y + 25 y^{2})^{2} = (9 x^{6} + 30 x^{3} y + 25 y^{2}) (9 x^{6} + 30 x^{3} y + 25 y^{2})

= (9 x^{6} + 30 x^{3} y + 25 y^{2}) (9 x^{6} + 30 x^{3} y + 25 y^{2})

Multipliziere aus

(9 x^{6} + 30 x^{3} y + 25 y^{2}) (9 x^{6} + 30 x^{3} y + 25 y^{2}) : 81 x^{12} + 540 x^{9} y + 1350 x^{6} y^{2} + 1500 x^{3} y^{3} + 625 y^{4}

= 81 x^{12} + 540 x^{9} y + 1350 x^{6} y^{2} + 1500 x^{3} y^{3} + 625 y^{4}

e x p an d lo g_{10} \frac{( x + 4 ) ^{5}}{x ^{3}}

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

e x p an d (k + 1)!

e x p an d (1 - cos^{2} (θ))^{3}

s im pl i f y (x + 12) (x - \frac{7}{5})