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Factorisation Using Algebraic Identities

Factorise: 9x...

Question

Factorise:

$9 x^{2} + 3 x - 8 y - 64 y^{2}$

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Solution

$9 x^{2} + 3 x - 8 y - 64 y^{2} \Rightarrow (3 x^{2}) - (8 y^{2}) + 3 x - 8 y \Rightarrow (3 x - 8 y) (3 x + 8 y) + (3 x - 8 y) \Rightarrow (3 x - 8 y) (3 x + 8 y + 1)$

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