vereinfachen sin^4(a)+sin^2(a)cos^2(a)

Lösung

vereinfachen

sin^{4} (a) + sin^{2} (a) cos^{2} (a)

sin^{2} (a)

Schritte zur Lösung

sin^{4} (a) + sin^{2} (a) cos^{2} (a)

Verwende die Pythagoreische Identität:

cos^{2} (x) + sin^{2} (x) = 1

= sin^{2} (a) \cdot 1

Faktorisiere

sin^{4} (a) + sin^{2} (a) cos^{2} (a) : sin^{2} (a) (sin^{2} (a) + cos^{2} (a))

= sin^{2} (a) (sin^{2} (a) + cos^{2} (a))

= sin^{2} (a)

f a c t or 18 a^{5} b^{7} c^{7} - 81 a^{7} b^{5} c^{7} + 5 a^{7} b^{7} c^{5}

s im pl i f y 64 + 43 e^{44} y 822513 w^{44555}

e x p an d (x + 0.3) (x - 0.7)

s im pl i f y (\frac{p ^{6}}{p ^{2}})^{2}

s im pl i f y (a + b + c) [(a - b)^{2} + (b - c)^{2} + (c - a)^{2}]