erweitern 9(xsin(θ)+ycos(θ))^2

Lösung

erweitern

9 (x sin (θ) + y cos (θ))^{2}

9 y^{2} cos^{2} (θ) + 9 x^{2} sin^{2} (θ) + 9 x y sin (2 θ)

Schritte zur Lösung

9 (x sin (θ) + y cos (θ))^{2}

Schreibe

(x sin (θ) + y cos (θ))^{2}

um:

y^{2} cos^{2} (θ) + x^{2} sin^{2} (θ) + x y sin (2 θ)

= 9 (y^{2} cos^{2} (θ) + x^{2} sin^{2} (θ) + x y sin (2 θ))

Wende das Distributivgesetz an:

m (a + b + c) = ma + mb + m c

9 (y^{2} cos^{2} (θ) + x^{2} sin^{2} (θ) + x y sin (2 θ)) = 9 y^{2} cos^{2} (θ) + 9 x^{2} sin^{2} (θ) + 9 x y sin (2 θ)

= 9 y^{2} cos^{2} (θ) + 9 x^{2} sin^{2} (θ) + 9 x y sin (2 θ)

e x p an d \frac{( 160 p ^{4} - 7 q ^{9} ) ^{3}}{1000}

e x p an d \frac{k}{s ( s + 5 )}

e x p an d (9 x^{2} + 25 y^{2} = 225) \frac{1}{225}

\frac{\partial}{\partial y} ((x) (1 + 2 x y))

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