Subjects algebra

Factor Expression E751Aa

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1. **State the problem:** Factor the common factor out of the expression $$10 - 15m - m$$ and simplify $$2(5m - 8m)$$. 2. **Analyze the first expression:** $$10 - 15m - m$$. 3. Combine like terms for the $m$ terms: $$-15m - m = -16m$$ 4. So the expression becomes: $$10 - 16m$$ 5. Factor out the greatest common factor (GCF). Here, the terms have no common factor other than 1, so the expression remains: $$10 - 16m$$ 6. **Analyze the second expression:** $$2(5m - 8m)$$. 7. Combine like terms inside the parentheses: $$5m - 8m = -3m$$ 8. So the expression becomes: $$2(-3m)$$ 9. Multiply: $$2 \times -3m = -6m$$ **Final answers:** - The simplified form of $$10 - 15m - m$$ is $$10 - 16m$$. - The simplified form of $$2(5m - 8m)$$ is $$-6m$$.