$(2 x - 32 x^{3}) = ? (a) 2 (x - 4) (x + 4) (b) 2 x (1 - 2 x)^{2} (c) 2 x (1 + 2 x)^{2} (d) 2 x (1 - 4 x) (1 + 4 x)$

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Solution

$2 x - 32 x^{3} = 2 x (1 - 16 x^{2}) = 2 x {(1)^{2} - (4 x)^{2}} = 2 x (1 - 4 x) (1 + 4 x)$

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