Evaluate
-204\pi a\left(3a-2\right)\left(3a+1\right)+i
Expand
i+408\pi a+612\pi a^{2}-1836\pi a^{3}
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i-27\pi \left(2a^{2}-\frac{2}{3}a-\frac{4}{9}\right)a\times 34
Multiply 3 and -9 to get -27.
i-918\pi \left(2a^{2}-\frac{2}{3}a-\frac{4}{9}\right)a
Multiply -27 and 34 to get -918.
i+\left(-1836\pi a^{2}+612\pi a+408\pi \right)a
Use the distributive property to multiply -918\pi by 2a^{2}-\frac{2}{3}a-\frac{4}{9}.
i-1836\pi a^{3}+612\pi a^{2}+408\pi a
Use the distributive property to multiply -1836\pi a^{2}+612\pi a+408\pi by a.
i-27\pi \left(2a^{2}-\frac{2}{3}a-\frac{4}{9}\right)a\times 34
Multiply 3 and -9 to get -27.
i-918\pi \left(2a^{2}-\frac{2}{3}a-\frac{4}{9}\right)a
Multiply -27 and 34 to get -918.
i+\left(-1836\pi a^{2}+612\pi a+408\pi \right)a
Use the distributive property to multiply -918\pi by 2a^{2}-\frac{2}{3}a-\frac{4}{9}.
i-1836\pi a^{3}+612\pi a^{2}+408\pi a
Use the distributive property to multiply -1836\pi a^{2}+612\pi a+408\pi by a.
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