To simplify the expression [tex]\( m^3 + 3m + 4m^2 - 6m \)[/tex], follow these steps:
1. Combine like terms:
Notice that we have two terms involving [tex]\( m \)[/tex]:
[tex]\[
3m - 6m = -3m
\][/tex]
Substituting this into the original expression, we get:
[tex]\[
m^3 + 4m^2 - 3m
\][/tex]
2. Factor the simplified expression:
Look for common factors. In this case, each term has a factor of [tex]\( m \)[/tex]:
Therefore, we can factor out [tex]\( m \)[/tex] from each term:
[tex]\[
m(m^2 + 4m - 3)
\][/tex]
Now the expression is fully simplified and factored:
[tex]\[
m(m^2 + 4m - 3)
\][/tex]
So, the simplified form of the given expression [tex]\( m^3 + 3m + 4m^2 - 6m \)[/tex] is:
[tex]\[
m(m^2 + 4m - 3)
\][/tex]
