faktorisieren 25x^4+31x^2+16

Lösung

faktorisieren

25 x^{4} + 31 x^{2} + 16

(5 x^{2} + 3 x + 4) (5 x^{2} - 3 x + 4)

Schritte zur Lösung

25 x^{4} + 31 x^{2} + 16

Addiere und subtrahiere

9 x^{2}

= 25 x^{4} + 40 x^{2} + 16 - 9 x^{2}

Faktorisiere

25 x^{4} + 40 x^{2} + 16 : (5 x^{2} + 4)^{2}

= (5 x^{2} + 4)^{2} - 9 x^{2}

Faktorisiere

(5 x^{2} + 4)^{2} - 9 x^{2} : (5 x^{2} + 4 + 3 x) (5 x^{2} + 4 - 3 x)

= (5 x^{2} + 4 + 3 x) (5 x^{2} + 4 - 3 x)

= (5 x^{2} + 3 x + 4) (5 x^{2} - 3 x + 4)

s im pl i f y 20 \frac{m}{s} h^{25} m^{35} m^{45} m^{5} m^{30} \frac{m}{s}

s im pl i f y (x + y)^{2} - (x + y) + 12

s im pl i f y (1) (x - c) (x - d) (x + k)

s im pl i f y (\frac{4 r}{3})^{3}

f a c t or y^{2} - a^{2}