Factoring the Expression (m3)(m^2+3m4)
This expression is already in a factored form, but we can simplify it further by factoring the quadratic expression within the parentheses.
Factoring the Quadratic
The quadratic expression m² + 3m  4 can be factored into two binomials. Here's how:

Find two numbers that multiply to 4 and add up to 3. The numbers 4 and 1 satisfy these conditions: 4 * 1 = 4 and 4 + (1) = 3.

Rewrite the middle term using these numbers: m² + 3m  4 = m² + 4m  m  4

Factor by grouping: (m² + 4m) + (m  4) = m(m + 4)  1(m + 4)

Factor out the common binomial: (m + 4)(m  1)
The Fully Factored Expression
Now, we can substitute the factored quadratic back into the original expression:
(m  3)(m² + 3m  4) = (m  3)(m + 4)(m  1)
This is the completely factored form of the expression.