Question

Factorize the following = 3a²-9​

Answer 1

Answer:

3  ( ^ 2 −  3 )

Answer 2

Answer:

$3(a+\sqrt{3} )(a-\sqrt{3})$

Step-by-step explanation:

Given : The expression is $3a^{2} -9$

To find : factors of the given expression

Solution  :

• The given expression is $3a^{2} -9$
• Taking out $3$ as common from both the terms, we get

       $3a^{2} -9 = 3(x^{2} -3)$

                  $= 3(a^{2} - \sqrt{3} ^{2} )$

• We know the identity,

      $(a^{2} -b^{2})=(a+b)(a-b)$

• The above equation becomes,

        $=3(a+\sqrt{3})(a-\sqrt{3})$

• ∴ $3a^{2} -9 = 3(a+\sqrt{3})(a-\sqrt{3})$