## Factoring the Expression (m-4)(m^2+4m-5)

This expression represents a product of two factors:

**(m - 4):**This is a simple binomial.**(m^2 + 4m - 5):**This is a quadratic trinomial.

To fully simplify the expression, we need to factor the quadratic trinomial.

### Factoring the Trinomial

We can factor the trinomial by finding two numbers that:

- Multiply to give -5 (the constant term).
- Add up to 4 (the coefficient of the middle term).

These two numbers are 5 and -1. So, we can rewrite the trinomial as:

**(m^2 + 4m - 5) = (m + 5)(m - 1)**

### Final Result

Now, we can substitute the factored trinomial back into the original expression:

**(m - 4)(m^2 + 4m - 5) = (m - 4)(m + 5)(m - 1)**

Therefore, the fully factored form of the expression **(m - 4)(m^2 + 4m - 5)** is **(m - 4)(m + 5)(m - 1)**.