Simplify a3-2725a2-5 a-1-a2-3a-9125a3-1

We know that, a^3 b^3=(a b)(a^2+ab+b^2) a^3 b^3=(a+b)(a^2 ab+b^2) a^3 2725a^2 5 a+1÷a^2+3a+9125a^3+1=a^3 2725a^2 5 a+1×125a^3+1a^2+3a+9 =(a 3)( ...

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Simplification of an Expression

Simplify a3-...

Question

Simplify
$\frac{a^{3} - 27}{25 a^{2} - 5 a + 1} \div \frac{a^{2} + 3 a + 9}{125 a^{3} + 1}$

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\frac{a^{3} - 27}{5 a^{2} - 16 a + 3} \div \frac{a^{2} + 3 a + 9}{25 a^{2} - 1}

\frac{a^{3} - 27}{5 a^{2} - 16 a + 3} \div \frac{a^{2} + 3 a + 9}{25 a^{2} - 1}

\frac{a^{3} - 27}{5 a^{2} - 16 a + 3} \div \frac{a^{2} + 3 a + 9}{25 a^{2} - 1}

a^{2} + 4 a^{2} - 3 a + 6 - 10 + 5 a

5 a + \frac{1}{3 a} = 5

9 a^{2} + \frac{1}{25 a^{2}}

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