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\frac{2c+3}{3}c\left(1-c\right)
Divide each term of 2-2c by 2 to get 1-c.
\frac{\left(2c+3\right)c}{3}\left(1-c\right)
Express \frac{2c+3}{3}c as a single fraction.
\frac{\left(2c+3\right)c\left(1-c\right)}{3}
Express \frac{\left(2c+3\right)c}{3}\left(1-c\right) as a single fraction.
\frac{\left(2c^{2}+3c\right)\left(1-c\right)}{3}
Use the distributive property to multiply 2c+3 by c.
\frac{2c^{2}-2c^{3}+3c-3c^{2}}{3}
Apply the distributive property by multiplying each term of 2c^{2}+3c by each term of 1-c.
\frac{-c^{2}-2c^{3}+3c}{3}
Combine 2c^{2} and -3c^{2} to get -c^{2}.
\frac{2c+3}{3}c\left(1-c\right)
Divide each term of 2-2c by 2 to get 1-c.
\frac{\left(2c+3\right)c}{3}\left(1-c\right)
Express \frac{2c+3}{3}c as a single fraction.
\frac{\left(2c+3\right)c\left(1-c\right)}{3}
Express \frac{\left(2c+3\right)c}{3}\left(1-c\right) as a single fraction.
\frac{\left(2c^{2}+3c\right)\left(1-c\right)}{3}
Use the distributive property to multiply 2c+3 by c.
\frac{2c^{2}-2c^{3}+3c-3c^{2}}{3}
Apply the distributive property by multiplying each term of 2c^{2}+3c by each term of 1-c.
\frac{-c^{2}-2c^{3}+3c}{3}
Combine 2c^{2} and -3c^{2} to get -c^{2}.