Find the expansion of
$(2 x + 3) (2 x - 5) (2 x - 7)$

8 x^{3} - 36 x^{2} - 2 x + 105

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8 x^{3} + 36 x^{2} - 2 x + 105

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8 x^{3} - 36 x^{2} + 2 x + 105

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None of these

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Solution

The correct option is A $8 x^{3} - 36 x^{2} - 2 x + 105$
$(2 x + 3) (2 x - 5) (2 x - 7)$

$= (4 x^{2} - 10 x + 6 x - 15) (2 x - 7)$

$= (4 x^{2} - 4 x - 15) (2 x - 7)$

$= 8 x^{3} - 28 x^{2} - 8 x^{2} + 28 x - 30 x + 15$

$= 8 x^{3} - 36 x^{2} - 2 x + 105$

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