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What is the product of $(4 a - 1) and (2 a + 3) ?$

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$8 a^{2} + 10 a - 3$

$8 a^{2} + 10 a + 3$

$8 a^{2} - 10 a - 3$

$8 a^{2} - 10 a + 3$

answer is A.

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Detailed Solution

$(4 a - 1) (2 a + 3)$

$= 4 a (2 a + 3) - 1 (2 a + 3)$

$= 4 a (2 a) + 4 a (3) - 2 a - 3$

$= 8 a^{2} + 12 a - 2 a - 3$

$= 8 a^{2} + 10 a - 3$

Hence, the product of $(4 a - 1) and (2 a + 3)$ is $8 a^{2} + 10 a - 3 .$

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