erweitern r^2(cos^2(θ)-sin^2(θ))

Lösung

erweitern

r^{2} (cos^{2} (θ) - sin^{2} (θ))

r^{2} cos^{2} (θ) - r^{2} sin^{2} (θ)

Schritte zur Lösung

r^{2} (cos^{2} (θ) - sin^{2} (θ))

Wende das Distributivgesetz an:

a (b - c) = ab - a c

r^{2} (cos^{2} (θ) - sin^{2} (θ)) = r^{2} cos^{2} (θ) - r^{2} sin^{2} (θ)

= r^{2} cos^{2} (θ) - r^{2} sin^{2} (θ)

s im pl i f y (t + t^{2} i)^{2}

e x p an d (2 x y + 4 x^{3} y^{2}) d x + (3 x^{2} + 4 x^{4} y) d y

e x p an d (x^{2} - 81) y^{''} (x) + (9 - x) y^{'} (x) + (x^{2} + 18 x + 81) y

s im pl i f y (3 + i)^{10}

e x p an d e^{x} (- e^{- x} x - e^{- x})