erweitern (c(-Dac+2Bac+Dc^2))/((a+c)^3)

Lösung

erweitern

\frac{c ( - D a c + 2 B a c + D c ^{2} )}{( a + c ) ^{3}}

\frac{- D c ^{2} a + 2 B c ^{2} a + D c ^{3}}{a ^{3} + 3 c a ^{2} + 3 c ^{2} a + c ^{3}}

Schritte zur Lösung

\frac{c ( - D a c + 2 B a c + D c ^{2} )}{( a + c ) ^{3}}

(a + c)^{3} = a^{3} + 3 c a^{2} + 3 c^{2} a + c^{3}

= \frac{c ( D c ^{2} + 2 B c a - Dc a )}{a ^{3} + 3 c a ^{2} + 3 c ^{2} a + c ^{3}}

Multipliziere aus

c (- D a c + 2 B a c + D c^{2}) : - D c^{2} a + 2 B c^{2} a + D c^{3}

= \frac{- D c ^{2} a + 2 B c ^{2} a + D c ^{3}}{a ^{3} + 3 c a ^{2} + 3 c ^{2} a + c ^{3}}

e x p an d 2 \cdot sin (x) (x - 6 y)

e x p an d (0.5 + (0.5 \cdot cos^{2} (x)))^{2}

e x p an d (9 (x + 3)^{2} - 4 (y - 4)^{2} = - 96) (- \frac{1}{96})

s im pl i f y (x - 2) \cdot (x + 2)

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