What is expand (c(-Dac+2Bac+Dc^2))/((a+c)^3) ?

The solution to expand (c(-Dac+2Bac+Dc^2))/((a+c)^3) is (-Dc^2a+2Bc^2a+Dc^3)/(a^3+3ca^2+3c^2a+c^3)

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

expand

\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}}

Solution steps

\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}}

Expand

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}}

2 \cdot sin (x) (x - 6 y)

(0.5 + (0.5 \cdot cos^{2} (x)))^{2}

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

(x - 2) \cdot (x + 2)

4 (e)^{3}

What is expand (c(-Dac+2Bac+Dc^2))/((a+c)^3) ?
The solution to expand (c(-Dac+2Bac+Dc^2))/((a+c)^3) is (-Dc^2a+2Bc^2a+Dc^3)/(a^3+3ca^2+3c^2a+c^3)