The common factor in the expression $3 a + 9 a^{2} + 12 a b$ is $3 a$ .

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Solution

The correct option is A
3

The expression $3 a + 9 a^{2} + 12 a b$ can be written as

$3 \times a + 3 \times 3 \times a \times a + 3 \times 4 \times a \times b$ ...(i)

Taking $3 a$ as common factor from (i), we get

$= 3 a (1 + 3 a + 4 b)$

$\Rightarrow 3 a + 9 a^{2} + 12 a b = 3 a (1 + 3 a + 4 b)$

Therefore, $3 a$ is the common factor in the expression $3 a + 9 a^{2} + 12 a b$ .

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