Simplify - a 2 -16 a 3 -8 - 2 a 2 -3a-2 2 a 2 -9a-4 - 3 a 2 -11a-4 a 2 -2a-4

We know, a ^ 2 16= a ^ 2 4 ^ 2 =( a+4 ) ( a 4 ) and a ^ 3 8= a ^ 3 2 ^ 3 =( a 2 ) ( a ^ 2 +2a+4 ) Therefore, a ^ 2 16 a ^ 3 18 × 2 a ^ ...

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Question

Simplify : $\frac{a^{2} - 16}{a^{3} - 8} \times \frac{2 a^{2} - 3 a - 2}{2 a^{2} + 9 a + 4} \div \frac{3 a^{2} - 11 a - 4}{a^{2} + 2 a + 4}$

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\frac{(2 a^{2} - a - 3)}{a^{2} + 6 a + 9} \times \frac{a^{2} - 8 a + 16}{(2 a - 3) (a - 4)}

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(\frac{a}{a^{2} - 4} - \frac{8}{a^{2} + 2 a}) \times \frac{a^{2} - 2 a}{4 - a} + \frac{a + 8}{a + 2}

[3 a^{2} - 2 a^{2} + 9 a^{2} - {6 a^{2} - (- 2 a^{2} + 3 a^{2})}]

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