Factories: 6ab – b 2 + 12ac – 2bc

Question

Factories: 6ab &#x2013; b 2 + 12ac &#x2013; 2bc

Philoid · Accepted Answer

6ab – b² + 12ac – 2bc

= 6ab + 12ac – b² – 2bc

= (6ab + 12ac) – (b² + 2bc)

= 6a(b + 2c) – b(b + 2c)

= (b + 2c)(6a – b)

So we get,

6ab – b² + 12ac – 2bc = (b + 2c)(6a – b)