Final answer:
The expression -5g + 15h - 25 can be factored by taking out the greatest common factor of -5, resulting in the factored form: -5(g - 3h + 5).
Step-by-step explanation:
To factor the expression -5g + 15h - 25, we look for the greatest common factor (GCF) of the coefficients and variables. The coefficients of the terms are -5, 15, and -25. The GCF of these numbers is 5. Since the expression is being subtracted overall, we will use -5 as the GCF. Thus, we factor out -5 from each term. The expression factored is:
-5(g - 3h + 5).
Step-by-step explanation:
- Factor out -5 from each term: -5g becomes g, 15h becomes -3h, and -25 becomes 5.
- Write the factored expression as a product of -5 and the simplified terms in parentheses.