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c+3d
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\frac{\left(3c^{2}-27d^{2}\right)\left(c+2d\right)}{\left(3c+6d\right)\left(c-3d\right)}
Divide \frac{3c^{2}-27d^{2}}{3c+6d} by \frac{c-3d}{c+2d} by multiplying \frac{3c^{2}-27d^{2}}{3c+6d} by the reciprocal of \frac{c-3d}{c+2d}.
\frac{3\left(c-3d\right)\left(c+2d\right)\left(c+3d\right)}{3\left(c-3d\right)\left(c+2d\right)}
Factor the expressions that are not already factored.
c+3d
Cancel out 3\left(c-3d\right)\left(c+2d\right) in both numerator and denominator.
\frac{\left(3c^{2}-27d^{2}\right)\left(c+2d\right)}{\left(3c+6d\right)\left(c-3d\right)}
Divide \frac{3c^{2}-27d^{2}}{3c+6d} by \frac{c-3d}{c+2d} by multiplying \frac{3c^{2}-27d^{2}}{3c+6d} by the reciprocal of \frac{c-3d}{c+2d}.
\frac{3\left(c-3d\right)\left(c+2d\right)\left(c+3d\right)}{3\left(c-3d\right)\left(c+2d\right)}
Factor the expressions that are not already factored.
c+3d
Cancel out 3\left(c-3d\right)\left(c+2d\right) in both numerator and denominator.
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