erweitern (L^{1/2}+K^{1/2})^2

Lösung

erweitern

(L^{\frac{1}{2}} + K^{\frac{1}{2}})^{2}

L + 2 L^{\frac{1}{2}} K^{\frac{1}{2}} + K

Schritte zur Lösung

(L^{\frac{1}{2}} + K^{\frac{1}{2}})^{2}

Wende Formel für perfekte quadratische Gleichungen an:

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

(L^{\frac{1}{2}} + K^{\frac{1}{2}})^{2} = (L^{\frac{1}{2}})^{2} + 2 L^{\frac{1}{2}} K^{\frac{1}{2}} + (K^{\frac{1}{2}})^{2}

= (L^{\frac{1}{2}})^{2} + 2 L^{\frac{1}{2}} K^{\frac{1}{2}} + (K^{\frac{1}{2}})^{2}

(L^{\frac{1}{2}})^{2} = L

(K^{\frac{1}{2}})^{2} = K

= L + 2 L^{\frac{1}{2}} K^{\frac{1}{2}} + K

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

e x p an d (- 8 i + (- 5), 2 j) \cdot (9, 7 i + (- 0), 7 j)

e x p an d - \frac{2 ( 4 + 79 )}{3}

e x p an d \frac{n ( n - 1 ) ^{2}}{2}

e x p an d \frac{π ( 8 + 2 ln ( 5 ) )}{2}