Factorize: 108a 2 –3(b – c) 2

Question

Factorize: 108a 2 &#x2013;3(b &#x2013; c) 2

Philoid · Accepted Answer

We have,

= 3[36a² – (b – c)²]

We can also write the expression as:

= 3[(6a)² – (b – c)²]

Now,

Using identity: a² – b² = (a – b)(a + b)

Hence,

The given expression can be factorized as:

Factorize:108a2 –3(b – c)2