erweitern (2rcos(t)+xcos(t))^2

Lösung

erweitern

(2 r cos (t) + x cos (t))^{2}

4 r^{2} cos^{2} (t) + 4 r x cos^{2} (t) + x^{2} cos^{2} (t)

Schritte zur Lösung

(2 r cos (t) + x cos (t))^{2}

Wende Formel für perfekte quadratische Gleichungen an:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

(2 r cos (t) + x cos (t))^{2} = (2 r cos (t))^{2} + 2 \cdot 2 r cos (t) x cos (t) + (x cos (t))^{2}

= (2 r cos (t))^{2} + 2 \cdot 2 r cos (t) x cos (t) + (x cos (t))^{2}

Vereinfache

(2 r cos (t))^{2} + 2 \cdot 2 r cos (t) x cos (t) + (x cos (t))^{2} : 4 r^{2} cos^{2} (t) + 4 r x cos^{2} (t) + x^{2} cos^{2} (t)

= 4 r^{2} cos^{2} (t) + 4 r x cos^{2} (t) + x^{2} cos^{2} (t)

e x p an d (x + 7) 7 x - 9

e x p an d (6 + 5) {+}

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

e x p an d c (l - a - b - y)^{2}

e x p an d e^{x} sec (y) d x + (1 + e^{x}) sec (y) tan (y) d y