1. The problem is to simplify the expression: $$24uv^2 - 2g - 70$$. 2. We look for common factors in each term to factor the expression. 3. The terms are: $$24uv^2$$, $$-2g$$, and $$-70$$. 4. The greatest common factor (GCF) of the coefficients 24, 2, and 70 is 2. 5. Factor out 2 from each term: $$24uv^2 - 2g - 70 = 2(\cancel{12}uv^2 - \cancel{1}g - \cancel{35})$$ 6. Simplify inside the parentheses: $$2(12uv^2 - g - 35)$$ 7. This is the simplified factored form of the expression. Final answer: $$2(12uv^2 - g - 35)$$