erweitern (6-2r^2)(2-8r^3cos(θ)sin(θ))

Lösung

erweitern

(6 - 2 r^{2}) (2 - 8 r^{3} cos (θ) sin (θ))

12 - 48 r^{3} cos (θ) sin (θ) - 4 r^{2} + 16 r^{5} cos (θ) sin (θ)

Schritte zur Lösung

(6 - 2 r^{2}) (2 - 8 r^{3} cos (θ) sin (θ))

Apply FOIL method

(6 - 2 r^{2}) (2 - 8 r^{3} cos (θ) sin (θ)) : 12 - 48 r^{3} cos (θ) sin (θ) - 4 r^{2} + 16 r^{5} cos (θ) sin (θ)

= 12 - 48 r^{3} cos (θ) sin (θ) - 4 r^{2} + 16 r^{5} cos (θ) sin (θ)

e x p an d \frac{3 ( 21 - 41 )}{16}

e x p an d (\frac{( q - p )}{2})^{2} + q \cdot p

e x p an d \frac{x ^{2} + 2}{x ^{2} ( x ^{2} + 4 )}

e x p an d (1 + x^{4}) d y + x (1 + 4 y^{2})

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