Factorize by taking out the common factors:
$3 a^{2} - 9 a b$

3 a (a - 3 b)

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3 a (a + 3 b)

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2 a (a - 3 b)

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2 a (a + 3 b)

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Solution

The correct option is A $3 a (a - 3 b)$
$3 a^{2} - 9 a b$
$= 3 a (a - 3 b)$

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3 a^{2} - 9 a b

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2 a + 6 b - 3 (a + 3 b)^{2}

2 a + 6 b - 3 (a + 3 b)^{2}

= 2 (a + 3 b) - 3 (a + 3 b)^{2} [T a k i n g 2 c o m m o n f r o m 2 a + 6 b]

= (a + 3 b) {\begin{matrix} 2 - 3 (a + 3 b) \end{matrix}} [T a k i n g (a + 3 b) c o m m o n]

= (a + 3 b) (2 - 3 a - 9 b)

18 a^{3} b^{3} - 27 a^{2} b^{3} + 36 a^{3} b^{2}

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