How do you factor 252v+48v212v3?

1 Answer
Apr 10, 2015

Let's modify the expression to get it in Standard Form first.

252v+48v212v3

=12v3+48v2+252v

12v is a common factor to all the terms in the above expression. So we can write it as:

=12v(v2+4v+21)

=12v(v24v21) -------(1)

v24v21
=v27v+3v21
=v(v7)+3(v7)
=(v7)(v+3) -------(2)

Substituting (2) in (1), we get

12v(v7)(v+3)

The above is the factorised form of 252v+48v212v3