$3 (2 x + 1) (4 x + 1)$
Which of the following is equivalent to the expression above?

45 x

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24 x^{2} + 3

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24 x^{2} + 18 x + 3

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18 x^{2} + 6

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Solution

The correct option is C $24 x^{2} + 18 x + 3$
The value of $3 (2 x + 1) (4 x + 1)$
$= 3 (8 x^{2} + 2 x + 4 x + 1)$
$= 3 (8 x^{2} + 6 x + 1)$
$= 24 x^{2} + 18 x + 3$

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