What is the greatest common monomial factor of $2a^2+12a$ ?

Question

3534 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-05-24T14:22:46

$2a$ is the greatest common monomial factor.

One way of seeing this is to completely factor each term first:

$2a^2+12a = (2*a*a) + (2*2*3*a)$

Both of these bracketed terms contains at least one factor $2$ and at least one factor $a$ .

$= 2a*a + 2a*6$

$= 2a*(a+6)$

What is the greatest common monomial factor of 2a^2+12a2a^2+12a?